Book contents
- Frontmatter
- Contents
- Preface to the Third Edition
- Preface to the Second Edition
- Preface to the Revised Printing
- Preface to the First Edition
- Overview. An Informal Overview of Cartan's Exterior Differential Forms, Illustrated with an Application to Cauchy's Stress Tensor
- I Manifolds, Tensors, and Exterior Forms
- II Geometry and Topology
- 7 ℝ3 and Minkowski Space
- 8 The Geometry of Surfaces in ℝ3
- 9 Covariant Differentiation and Curvature
- 10 Geodesics
- 11 Relativity, Tensors, and Curvature
- 12 Curvature and Topology: Synge's Theorem
- 13 Betti Numbers and De Rham's Theorem
- 14 Harmonic Forms
- III Lie Groups, Bundles, and Chern Forms
- Appendix A Forms in Continuum Mechanics
- Appendix B Harmonic Chains and Kirchhoff's Circuit Laws
- Appendix C Symmetries, Quarks, and Meson Masses
- Appendix D Representations and Hyperelastic Bodies
- Appendix E Orbits and Morse–Bott Theory in Compact Lie Groups
- References
- Index
10 - Geodesics
from II - Geometry and Topology
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface to the Third Edition
- Preface to the Second Edition
- Preface to the Revised Printing
- Preface to the First Edition
- Overview. An Informal Overview of Cartan's Exterior Differential Forms, Illustrated with an Application to Cauchy's Stress Tensor
- I Manifolds, Tensors, and Exterior Forms
- II Geometry and Topology
- 7 ℝ3 and Minkowski Space
- 8 The Geometry of Surfaces in ℝ3
- 9 Covariant Differentiation and Curvature
- 10 Geodesics
- 11 Relativity, Tensors, and Curvature
- 12 Curvature and Topology: Synge's Theorem
- 13 Betti Numbers and De Rham's Theorem
- 14 Harmonic Forms
- III Lie Groups, Bundles, and Chern Forms
- Appendix A Forms in Continuum Mechanics
- Appendix B Harmonic Chains and Kirchhoff's Circuit Laws
- Appendix C Symmetries, Quarks, and Meson Masses
- Appendix D Representations and Hyperelastic Bodies
- Appendix E Orbits and Morse–Bott Theory in Compact Lie Groups
- References
- Index
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- The Geometry of PhysicsAn Introduction, pp. 269 - 290Publisher: Cambridge University PressPrint publication year: 2011