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Infinitesimal bundles and projective relativity

Published online by Cambridge University Press:  24 October 2008

Geoffrey Evans
Geoffrey Evans
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Canada†
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Extract

This paper derives some sufficient conditions for the global validity of projective relativity theory. The basic object of study is the infinitesimal bundle, which is a generalization of a principal circle bundle. A method ofconstructing infinitesimal bundles is developed. The main result is that ifspacetime is non-compact and simply connected, and has a finite homology basis, then projective relativity is globally valid.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 2 , September 1974 , pp. 465 - 471
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

(1)Jordan, P.Schwerkraft und Weltall, 2nd ed. (F. Vieweg; Braunschweig, 1955).Google Scholar
(2)Evans, G. T. and Sen, D. K.J. Math. and Phys. 14 (1973), 1668–1679.CrossRefGoogle Scholar
(3)Evans, G. T. Ph.D. Thesis, University of Toronto, 1973.Google Scholar
(4)Kobayashi, S. and Nomizu, K.Foundations of differential geometry, vol. 2 (Wiley; New York, 1969).Google Scholar
(5)Palais, R. S.A global formulation of the lie theory of transportation groups, Memoirs American Math. Soc., No. 22 (1957).CrossRefGoogle Scholar
(6)Spanier, E.Algebraic Topology (McGraw-Hill; New York, 1966).Google Scholar
(7)Weil, A.Variétés Kähleriennes (Hermann; Paris, 1958).Google Scholar
(8)Boothby, W. M. and Wang, H. C.Ann. of Math. 68 (1958), 721–734.CrossRefGoogle Scholar