[AM] R., Abraham and J., Marsden, Foundations of Mechanics, Benjamin-Cummings, Reading, MA, 1978.

[Ad] J. F., Adams, Lectures on Lie Groups, Mathematics Lecture Notes Series,W. A. Benjamin, New York, 1969.

[Al] M., Adler, On a trace functional for formal pseudo-differential operators and symplectic structure of the Korteweg-de Vries equation, Invent. Math. 50 (1979), 219–249.Google Scholar

[AB] A., Agrachev, B., Bonnard, M., Chyba and I., Kupka, Sub-Riemannian sphere in Martinet flat case, ESAIM: Control, Optimization and Calculus of Variations 2 (1997), 377–448.Google Scholar

[AS] A., Agrachev and Y., Sachkov, Control Theory from the Geometric Point of View, Encyclopedia of Mathematical Sciences, vol. 87, Springer-Verlag, New York, 2004.

[Ap] R. Appell, E. and Lacour, , Principes de la theorie des fonctions elliptiques et applications, Gauthier-Villars, Paris, 1922.

[Ar] V. I., Arnold, Mathematical Methods of Classical Mechanics, Graduate Texts in Mathematics, vol. 60, Springer-Verlag, New York, 1978.

[AKh] V. I., Arnold and B., Khesin, Topological Methods in Hydrodynamics, App. Math. Sci. (125), Springer-Verlag, New York, 1998.

[AKN] V. I., Arnold, V.V., Kozlov, and A. I., Neistadt, Mathematical aspects of classical and celestial mechanics, In Encyclopedia of Mathematical Sciences, Vol 3, Springer-Verlag, Berlin-Heidelberg, 1988.

[Bl] A. G., Bliss, Calculus of Variations, American Mathematical Society, LaSalle, IL, 1925.

[BR] A. I, Bobenko, A. G., Reyman and M. A., Semenov-Tian Shansky, The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions, Comm. Math. Phys 122 (1989), 321–354.Google Scholar

[Bg1] O., Bogoyavlenski, New integrable problem of classical mechanics, Comm. Math. Phys. 94 (1984), 255–269.Google Scholar

[Bg2] O., Bogoyavlenski, Integrable Euler equations on SO4 and their physical applications, Comm. Math. Phys. 93 (1984), 417–436.Google Scholar

[Bv] A.V., Bolsinov, A completeness criterion for a family of functions in involution obtained by the shift method, Soviet Math. Dokl. 38 (1989), 161–165.Google Scholar

[BJ] B., Bonnard, V., Jurdjevic, I., Kupka and G., Sallet, Transitivity of families of invariant vector fields on semi-direct products of Lie groups, Trans. Amer. Math. Soc. 271 (1982), 525–535.Google Scholar

[BC] B., Bonnard and M., Chyba, Sub-Riemannian geometry: the Martinet case (Conference on Geometric Control and Non-Holonomic Mechanics, Mexico City, 1996, edited by V. Jurdjevic and R.W. Sharpe), Canad. Math. Soc. Conference Proceedings, 25 (1998), 79–100.Google Scholar

[Bo] A., Borel, Kählerian coset spaces of semi-simple Lie groups, Proc. Nat. Acad. USA, 40 (1954), 1147–1151.Google Scholar

[BT] R., Bott and W., Tu, Differential Forms in Algebraic Topology, Graduate Texts in Mathematics, Springer-Verlag, New York, (1982).

[Br1] R., Brockett, Control theory and singular Riemannian geometry, in New Directions in Applied Mathematics (P., Hilton and G., Young, eds.), Springer- Verlag, New York, 1981, 11–27.

[Br2] R., Brockett, Nonlinear control theory and differential geometry, Proceedings of the International Congress of Mathematicians, Aug. 16–24 (1983), Warszawa, 1357–1368.

[BGN] R., Brockett, S., Glazer, and N., Khaneja, Sub-Riemannian geometry and time optimal control of three spin systems: quantum gates and coherence transfer, Phys. Rev. A 65(3), 032301, (2002).Google Scholar

[BG] R., Bryant and P., Griffiths, Reductions for constrained variational problems and 1/2∫κ2ds, Amer. Jour. Math. 108 (1986), 525–570.Google Scholar

[Br] J.P, Brylinski, Loop Spaces, Characteristic Classes and Geometric Quantization, Progress in Math. (108), Birkhauser, Boston, Mass, 1993.

[Cr] C., Carathéodory, Calculus of Variations, reprinted by Chelsea in 1982, Teubner, 1935.

[C1] E., Cartan, Sur une classe remarquable d'espaces de Riemann, Bull. Soc. Math.France 54 (1927), 114–134.

[C2] E., Cartan, Leçons sur les invariants integraux, Herman, Paris, 1958.

[CK] A. l., Castro and J., Koiller, On the dynamicMarkov–Dubins problem: from path planning in robotics and biolocomotion to computational anatomy, Regular and Chaotic Dynamics 18, No. 1–2 (2013), 1–20.Google Scholar

[Ch] J., Cheeger and D., Ebin, Comparison Theorems in Reimannian Geometry, North-Hollond, Amsterdam, 1975.

[CL] E. A., Coddington and N., Levinson, Theory of Ordinary Differential Equations, McGraw Hill, New York, 1955.

[Dr] G., Darboux, La théory général des surfaces, Vol III, Translation of the Amer. Math. Soc. original publication Paris 1894, Chelsea, New York, 1972.

[D] P.A.M., Dirac, Generalized Hamiltonian Dynamics, Can. J. Math. 1 (1950), 129–148.Google Scholar

[DC] M. P., DoCarmo, Riemannian Geometry, Birkhäuser, Boston, MA, 1992.

[Drg] V., Dragovic, Geometrization and generalization of the Kowdewski top, Commun. Math. Phys. 298 (2010), 37–64.Google Scholar

[Db] L. E., Dubins, On curves of minimal ength with a constraint on the average curvature and with prescribed initial positions and tangents, Amer. J. Math. 79 (1957), 497–516.Google Scholar

[DKN] B. A., Dubrovin, I.M., Kirchever and S. P., Novikov, Integrable systems I, In Dynamical systems IV (V. I., Arnold and S. P., Novikov, eds.), Encylopaedia of Mathematical Sciences, Vol 4. (1990), Springer-Verlag, 174–271.

[Eb] P. B., Eberlein, Geometry of Nonpositively CurvedManifolds, Chicago Lectures in Mathematics, The University of Chicago Press, Chicago, IL, 1997.

[Ep] C. K., Epstein and M. I., Weinstein, A stable manifold theorem for the curve shortening equation, Comm. Pure Appl. Math. XL (1987), 119–139.Google Scholar

[E] L., Euler, Methodus inveniendi lineas curvas maximi minimive proprieatate gaudentes, sive solutio, problematis isoperimetrici lattisimo sensu accepti, Opera Omnia Ser. IaLausannae 24 (1744).Google Scholar

[Eu] L., Euler, Evolutio generalior formularum comparationi curvarum inserventium, Opera Omnia Ser Ia 20 (E347/1765), 318–354.

[Fa] L., Faddeev L. and L., Takhtajan, Hamiltonian Methods in the Theory of Solitons, Springer-Verlag, Berlin, 1980.

[FJ] Y. Fedorov and B. Jovanovic, Geodesic flows and Newmann systems on Steifel varieties: geometry and integrability, Math. Z. 270, (3–4) (2012), 659–698.

[Fl1] H., Flaschka, Toda, latice, I: Existence of integrals, Phys. Rev. B3(9) (1974), 1924–1925.Google Scholar

[Fl2] H. Flaschka, Toda latice, II: Inverse scattering solution, Progr. Theor. Phys. 51 (1974), 703–716.

[Fk] V. A., Fock, The hydrogen atom and non-Euclidean geometry, Izv. Akad. Nauk SSSR, Ser. Fizika 8 (1935).Google Scholar

[FM] A. T., Fomenko and A. S., Mischenko, Euler equation on finite-dimensional Lie groups, Math USSR Izv. 12 (1978), 371–389.Google Scholar

[FT] A. T., Fomenko and V.V., Trofimov, Integrability in the sense of Louville of Hamiltonian systems on Lie algebras, (in Russian), Uspekhi Mat. Nauk 2(236) (1984), 3–56.Google Scholar

[FT1] A. T., Fomenko and V.V., Trofimov, Integrable systems on Lie algebras and symmetric spaces, in Advanced Studies in Contemporary Mathematics, Vol. 2, Gordon and Breach, 1988.

[GM] E., Gasparim, L., Grama and A.B., San Martin, Adjoint orbits of semisimple Lie groups and Lagrangian submanifolds, to appear, Proc. of Edinburgh Mat. Soc.

[GF] I. M., Gelfand and S.V., Fomin, Calculus of Variations, Prentice-Hall, Englewood Cliffs, NJ, (1963).

[Gb] V.V., Golubev, Lectures on the Integration of the Equations of Motion of a Heavy Body Around a Fixed Point, (in Russian), Gostekhizdat, Moscow, 1977.

[Gr] P., Griffiths, Exterior Differential Systems and the Calculus of Variations, Birkhäuser, Boston, MA, 1983.

[GH] P., Griffiths and J., Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978.

[GS] V., Guillemin and S., Sternberg, Variations on a Theme by Kepler, vol. 42 Amer. Math. Soc., 1990.

[Gy] G., Györgi, Kepler's equation, Fock Variables, Baery's equation and Dirac. brackets, Nyovo cimertio A 53 (1968), 717–736.Google Scholar

[Hm] R. S., Hamilton, The inverse function theorem of Nash and Moser, Bull. Amer. Math. Soc. 7 (1982), 65–221.Google Scholar

[H1] H., Hasimoto, Motion of a vortex filament and its relation to elastica, J. Phys. Soc. Japan (1971), 293–294.Google Scholar

[H2] H., Hasimoto, A soliton on the vortex filament, J. Fluid Mech. 51 (1972), 477–485.Google Scholar

[Hl] S., Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Academic Press, New York, 1978.

[HV] D., Hilbert and S., Cohn-Vossen, Geometry and Imagination, Amer. Math. Soc., 1991.

[Hg] J., Hilgert, K. H., Hofmann and J. D., Lawson, Lie Groups, Convex Cones ans Semigroups, Oxford Univesity Press, Oxford, 1989.

[HM] E., Horozov and P., Van Moerbeke, The full geometry of Kowalewski's top and (1, 2) Abelian surfaces, Comm. Pure and App. Math. XLII (1989), 357-407.Google Scholar

[IS] C.|Ivanescu and A., Savu, The Kowalewski top as a reduction of a Hamiltonian system on Sp(4, R), Proc. Amer. Math. Soc. (to appear).

[IvS] T., Ivey T and D.A., Singer, Knot types, homotopies and stability of closed elastic curves, Proc. London Math. Soc 79 (1999), 429-450.Google Scholar

[Jb] C. G. J., Jacobi, Vorlesungen uber Dynamik, Druck und Verlag von G. Reimer, Berlin, 1884.

[J1] V., Jurdjevic, The Delauney-Dubins Problem, in Geometric Control Theory and Sub-Riemannian Geometry. (U., Boscain, J. P., Gauthier, A., Sarychev and M., Sigalotti, eds.) INDAM Series 5, Springer Intl. Publishing 2014, 219-239.

[Ja] V., Jurdjevic, The symplectic structure of curves in three dimensional spaces of constant curvature and the equations of mathematical physics, Ann. I. H. Poincare (2009), 1843-1515.Google Scholar

[Jr] V., JurdjevicOptimal control on Lie groups and integrable Hamiltonian systems, Regular and Chaotic Dyn. (2011), 514-535.Google Scholar

[Je] V., JurdjevicNon-Euclidean elasticae, Amer. J. Math. 117 (1995), 93-125.Google Scholar

[Jc] V., JurdjevicGeometric Control Theory, Cambridge Studues in Advanced Mathematics, vol. 52, Cambridge University Press, New York, 1997.

[JA] V., JurdjevicIntegrable Hamiltonian systems on Lie groups: Kowalewski type, Annals Math. 150 (1999), 605-644.Google Scholar

[Jm] V., JurdjevicHamiltonian systems on complex Lie groups and their Homogeneous spaces, Memoirs AMS, 178, (838) (2005).Google Scholar

[JM] V., Jurdjevic and R, Perez-Monroy, Variational problems on Lie groups and their homogeneous spaces: elastic curves, tops and constrained geodesic problems, in Non-linear Control Theory and its Applications (B., Bonnardet al., eds.) (2002), World Scientific Press, 2002, 3-51.

[JZ] V., Jurdjevic and J., Zimmerman, Rolling sphere problems on spaces of constant curvature, Math. Proc. Camb. Phil. Soc. 144 (2008), 729-747.Google Scholar

[Kl] R. E., Kalman, Y. C., Ho and K. S., Narendra, Controllability of linear dynamical systems, Contrib. Diff. Equations, 1 (1962), 186-213.Google Scholar

[Kn] H., Knörrer, Geodesics on quadrics and a mechanical problem of C. Newmann, J. Riene Angew. Math. 334 (1982) 69-78.Google Scholar

[Ki] A. A., Kirillov, Elements of the Theory of Representations, Springer, Berlin, 1976.

[KN] S., Kobayashi and K., Nomizu, Foundations of Differential Geometry, Vol I, Interscience Publishers, John Wiley and Sons, New York, 1963.

[Km] I. V., Komarov, Kovalewski top for the hydrogen atom, Theor. Math. Phys 47(1) (1981), 67-72.Google Scholar

[KK] I. V., Komarov and V. B., Kuznetsov, Kowalewski top on the Lie algebras o(4), e(3) and o(3,1), J. Phys. A 23(6) (1990), 841-846.Google Scholar

[Ks] B., Kostant, The solution of a generalized Toda latrtice and representation theory, Adv. Math. 39 (1979), 195-338.Google Scholar

[Kw] S., Kowalewski, Sur le problème de la rotation d'un corps, solide autor d'un point fixéActa Math. 12(1889), 177-232.Google Scholar

[LP] J., Langer and R., Perline, Poisson geometry of the filament equation, J. Nonlinear Sci., 1 (1978), 71-93.Google Scholar

[LS] J., Langer and D., Singer, The total squared curvature of closed curves, J. Diff. Geometry, 20 (1984), 1-22.Google Scholar

[LS1] J., Langer and D., Singer, Knotted elastic curves in R3, J. London Math. Soc. 2(30) (1984), 512-534.Google Scholar

[Lt] R, Silva Leite, M., Camarinha and P., Crouch, Elastic curves as solutions of Riemannian and sub-Riemannian control problems, Math. Control Signals Sys. 13 (2000), 140-155.Google Scholar

[LL] L. D., Landau and E. M., Lifshitz, Mechanics, 3rd edition, Pergamon Press, Oxford, 1976.

[Li] R., Liouville, Sur le movement d'un corps solide pesant suspendue autour d'un point fixé, Ada Math. 20 (1896), 81-93.Google Scholar

[LSu] W., Liu and H. J., Sussmann, Shortest Paths for Sub-Riemannian Metrics on Rank 2 Distributions, Amer. Math. Soc. Memoirs 564, Providence, RI, (1995).

[Lv] A. E., Love, A Treatise on the Mathematical Theory of Elasticity, 4th edition, Dover, New York, 1927.

[Lya] A. M., Lyapunov, On a certain property of the differential, equations of a heavy rigid body with a fixed pointSoobshch. Kharkov. Mat. Obshch. Ser. 2 4 (1894), 123-140.Google Scholar

[Mg] F. A., Magri, A simple model for the integrable Hamiltonian equation, J. Math. Phys. 19(1978), 1156-1162.Google Scholar

[Mn] S. V., Manakov, Note on the integration of Euler's equations of the dynamics of an n dimensional rigid body, Funct. Anal. Appl. 10 (1976), 328-329.Google Scholar

[MK] A. A., Markov, Some examples of the solution of a special kind of problem in greatest and lowest quantities (in Russian), Soobsch. Karkovsk. Mat. Obshch. (1887), 250-276.Google Scholar

[MZ] J., Millson and B. A., Zambro, A Kahter structure on the moduli spaces of isometric maps of a circle into Euclidean spaces, Invert. Math. 123(1) (1996), 35-59.Google Scholar

[Ml] J., Milnor, Curvature of left invariant metrics on Lie groups, Adv. Math. 21(3), (1976), 293-329.Google Scholar

[Mi1] D., Mittenhuber, Dubins' problem in hyperbolic spaces, in Geometric Control and Non-holonomic Mechanics (V., Jurdjevic and R. W., Sharpe, eds.), vol. 25, CMS Conference Proceedings American Mathematical Society Providence, RI, 1998, 115-152.

[Mo] F., Monroy-Pérez, Three dimensional non-Euclidean Dubins' problem, in Geometric Control and Non-Holonomic Mechanics (V., Jurdjevic and R. W., Sharpe, eds.), vol. 25, CMS Conference Proceedings Canadian Math. Soc., 1998, 153-181.

[Mt] R., Montgomery, Abnormal minimizers, SIAM J. Control Opt. 32(6) (1994), 1605-1620.Google Scholar

[Ms1] J., Moser, Regularization of Kepler's problem and the averaging method on a manifold, Comm. Pure Appl. Math. 23(4) (1970), 609–623.Google Scholar

[Ms2] J., Moser, Integrable Hamiltonian Systems and Spectral Theory, Lezioni Fermiane, Academia Nazionale dei Lincei, Scuola Normale, Superiore Pisa, 1981.

[Ms4] J., Moser, Finitely Many Mass Points on the Line Under the Influence of an Exponential Potential-an Integrable System, in Lecture notes in Physics, vol 38 Springer, Berlin, 1975, 97–101.

[Ms3] J., Moser, Various aspects of integrable Hamiltonian systems, in Dynamical Systems, C.I.M.E. Lectures, Bressanone, Italy, June, 1978, Progress in Mathematics, vol 8, Birkhauser, Boston, MA, 1980, 233–290.

[Na] I. P., Natanson, Theory of Function of a Real Variable, Urgar, 1995.

[Nm] C., Newmann, De probleme quodam mechanico, quod ad primam, integralium ultra-ellipticoram classem revocatumJ. Reine Angew. Math. 56 (1856).Google Scholar

[NP] L., Noakes L. and T., Popiel, Elastica on SO(3), J. Australian Math. Soc. 83(1) (2007), 105–125.Google Scholar

[NHP] L., Noakes, G., Heizinger and B., Paden, Cubic spines of curved spaces, IMA J. Math. Control Info. 6 (1989), 465–473.Google Scholar

[O1] Y., Osipov, Geometric interpretation of Kepler's problem, Usp. Mat. Nauk 24(2), (1972), 161.Google Scholar

[O2] Y., Osipov, The Kepler problem and geodesic flows in spaces of constant curvature, Celestial Mechanics 16 (1977), 191–208.Google Scholar

[Os] R., Osserman, From Schwarz to Pick to Ahlfors and beyond, Notices of AMS 46(8) (1997), 868–873.Google Scholar

[Pr] A. M., Perelomov, Integrable Systems of ClassicalMechanics and Lie Algebras, vol. I, Birkhauser Verlag, Basel, 1990.

[Pc] E., Picard, Oeuvres de Charles Hermite, Publiées sous les auspices de l'Academie des sciences, Tome I, Gauthier-Villars, Paris, 1917.

[Po] H., Poincaré, Les méthodes nouvelles de la mechanique celeste, Tome I, Gauthier-Villars, Paris, 1892.

[Pt] L. S., Pontryagin, V.G., Boltyanski, R.V., Gamkrelidze and E. F., Mishchenko, The Mathematical Theory of Optimal Processes, Translated from Russian by D. E., Brown, Pergamon Press, Oxford, 1964.

[Rt1] T., Ratiu, The motion of the free n-dimensional Rigid body, Indiana Univ.Math. J. 29(4), (1980), 602–629.Google Scholar

[Rt2] T., Ratiu, The C. Newmann problem as a completely integrable system on a coadjoint orbit, Trans. Amer. Mat. Soc. 264(2) (1981), 321–329.Google Scholar

[Rn] C. B., Rauner, The exponential map for the Lagrange problem on differentiable manifolds, Phil. Trans. Royal Soc. London, Ser. A 262 (1967), 299–344.Google Scholar

[Rm] A. G., Reyman, Integrable Hamiltonian systems connected with graded Lie algebras, J. Sov. Math. 19 (1982), 1507–1545.Google Scholar

[RS] A. G., Reyman and M. A. Semenov-Tian, Shansky, Reduction of Hamiltonian systems, affine Lie algebras and Lax equations I., Invent. Math. 54 (1979), 81–100.Google Scholar

[RT] A. G., Reyman and M. A. Semenov-Tian, Shansky, Group-theoretic methods in the theory of finite-dimensional integrable systems, Encyclopaedia of Mathematical Sciences (V. I., Arnold and S. P., Novikov, eds.), Part 2, Chapter 2, Springer-Verlag, Berlin Heidelberg, 1994.

[Ro] H. L., Royden, Real Analysis, 3rd Edition, Prentice Hall, Englewood Cliffs, 1988.

[Sc] J., Schwarz, von, Das Delaunaysche Problem der Variationsrechung in kanonischen Koordinaten, Math. Ann. 110 (1934), 357–389.Google Scholar

[ShZ] C., Shabat and V., Zakharov, Exact theory of two dimensional self-focusing, and one dimensional self-modulation of waves in non-linear media, Sov. Phys. JETP 34 (1972), 62–69.Google Scholar

[Sh] R.W., Sharpe, Differential Geometry: Cartan's Generalization of Klein's Erlangen Program, Graduate Texts in Mathematics, Springer, New York, 1997.

[Sg1] C. L., Siegel, Symplectic Geometry, Amer. J. Math. 65 (1943), 1–86.Google Scholar

[Sg2] C. L., Siegel, Topics in Complex Function Theory, vol. 1: Elliptic Functions and Uniformization Theory, Tracts in Pure and Appl. Math. vol. 25, Wiley- Interscience, John Wiley and Sons, New York, 1969.

[Sg] E. D., Sontag, Mathematical Control Theory, Deterministic Finite-Dimensional Systems, Springer-Verlag, Berlin, 1990.

[So] J. M., Souriau, Structure des Systemes Dynamiques, Dunod, Paris, 1970.

[Sf] P., Stefan, Accessible sets, orbits and foliations with singularities, London Math. Soc. Proc., Ser. 3, 29 (1974), 699–713.Google Scholar

[St] S., Sternberg, Lectures on Differential Geometry, Prentice-Hall Inc, Englewood Cliffs, NJ, 1964.

[Sz] R., Strichartz, Sub-Riemannian Geometry, J. Diff. Geometry 24 (1986), 221–263.Google Scholar

[Sg] M., Sugiura, Conjugate classes of Cartan subalgebras in real semisimple Lie algebras, J. Math. Soc. Japan, 11(4) (1959).Google Scholar

[Ss] H. J., Sussmann, Orbits of families of vector fields and integrability of distributions, Trans. Amer. Math. Soc. 180 (1973), 171–188.Google Scholar

[Ss1] H. J., Sussmann, A cornucopia of four-dimensional abnormal sub-Riemannian minimizers, in Sub-Riemannian Geometry (A., Bellaïche and J. J., Risler, eds), Progress in Mathematics, vol. 144, Birkhäuser, 1996, 341–364.

[Ss3] H. J., Sussmann, Shortest 3-dimensional paths with a prescribed curvature bound, in Proc. 34th Conf. on Decision and Control, New Orleans, 1995, 3306–3311.

[Ss4] H. J., Sussmann, The Markov-Dubins problem with angular acceleration, in Proc. 36th IEEE Conf. on Decision and Control, San Diego, CA, 1997, 2639–2643.

[Sy] W., Symes, Systems of Toda type, inverse spectral problems and representation theory, Invent. Math. 59 (1980), 13–53.Google Scholar

[To] M., Toda, Theory of Nonlinear Lattices, Springer, New York, 1981.

[Tr] E., Trelat, Some properties of the value function and its level sets for affine control systems with quadratic cost, J. Dyn. Contr. Syst. 6(4) (2000), 511–541.Google Scholar

[VS] J. von, Schwarz, Das Delaunische Problem der Variationsrechung in kanonischen Koordinaten, Math. Ann. 110 (1934), 357–389.Google Scholar

[W] K., Weierstrass, werke, Bd 7, Vorlesungen über Variationsrechung, Akadem. Verlagsges, Leipzig, 1927.

[Wl] A., Weil, Euler and the Jacobians of elliptic curves, in Arithmetic and Geometry (M., Artin and J., Tate, eds.), Progress in Mathematics, vol. 35, Birkhäuser, Boston, MA, 353–359.

[Wn] A., Weinstein, The local sructure of Poisson manifolds, J. Diff. Geom. 18 (1983), 523–557.Google Scholar

[Wh] E. T., Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, 3rd edition, Cambridge Press, Cambridge, 1927.

[Wf] J. A., Wolf, Spaces of Constant Curvature, 4th edition, Publish or Perish, Inc, Berkeley, CA, 1977.

[Yo] K., Yosida, Functional Analysis, Springer-Verlag, Berlin, 1965.

[Yg] L. C., Young, Lectures in the Calculus of Variations and Optimal Control Theory, W.B., Saunders, Philadelphia, PA, 1969.

[Zg1] S. L., Ziglin, Branching of solutions and non-existence of first, integrals in Hamiltonian mechanics I, Funkts. Anal. Prilozhen 16(3) (1982), 30–41.Google Scholar

[Zg2] S.L., Ziglin, Branching of solutions and non-existence of first, integrals in Hamiltonian mechanics II, Funkts. Anal. Prilozhen 17(1) (1981), 8–23.Google Scholar