Book contents
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the Revised Printing
- Preface to the First Edition
- I Manifolds, Tensors, and Exterior Forms
- 1 Manifolds and Vector Fields
- 2 Tensors and Exterior Forms
- 3 Integration of Differential Forms
- 4 The Lie Derivative
- 5 The Poincaré Lemma and Potentials
- 6 Holonomic and Nonholonomic Constraints
- II Geometry and Topology
- 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
5 - The Poincaré Lemma and Potentials
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface to the Second Edition
- Preface to the Revised Printing
- Preface to the First Edition
- I Manifolds, Tensors, and Exterior Forms
- 1 Manifolds and Vector Fields
- 2 Tensors and Exterior Forms
- 3 Integration of Differential Forms
- 4 The Lie Derivative
- 5 The Poincaré Lemma and Potentials
- 6 Holonomic and Nonholonomic Constraints
- II Geometry and Topology
- 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
Summary
- Type
- Chapter
- Information
- The Geometry of PhysicsAn Introduction, pp. 155 - 164Publisher: Cambridge University PressPrint publication year: 2003