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Curvature in mathematics and physics / Shlomo Sternberg.

By: Sternberg, Shlomo.
Material type: TextTextPublisher: Mineola, New York : Dover Pubications, Inc. ; 2012Description: 405 p. : USD 19.95 port. ; 24 cm.ISBN: 9780486478555 (pbk.); 0486478556 (pbk.).Subject(s): Mathematical Physics | Curvature | Semi-Riemannian geometry | Geometry, Differential | Differential calculus | Algebras, Linear | Relativity (Physics)DDC classification: 516.3/62 Online resources: Publisher description | Table of contents only
Contents:
1. Gauss's theorema egregium -- 2. Rules of calculus -- 3. Connections on the tangent bundle -- 4. Levi-Civita's theorem -- 5. Bi-invariant metrics on a Lie group -- 6. Cartan calculations -- 7. Gauss's lemma -- 8. Variational formulas -- 9. The Hopf-Rinow theorem -- 10. Curvature, distance, and volume -- 11. Review of special relativity -- 12. The star operator and electromagnetism -- 13. Preliminaries to the Einstein equations -- 14. Die Grundlagen der physik -- 15. The Frobenius theorem -- 16. Connections on principal bundles -- 17. Reduction of principal bundles -- 18. Superconnections -- 19. Semi-Riemannian submersions.
List(s) this item appears in: 2015-12-29
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks 		530.15 STE (Browse shelf) Available 9684
Total holds: 0

Includes bibliographical references and index.

1. Gauss's theorema egregium -- 2. Rules of calculus -- 3. Connections on the tangent bundle -- 4. Levi-Civita's theorem -- 5. Bi-invariant metrics on a Lie group -- 6. Cartan calculations -- 7. Gauss's lemma -- 8. Variational formulas -- 9. The Hopf-Rinow theorem -- 10. Curvature, distance, and volume -- 11. Review of special relativity -- 12. The star operator and electromagnetism -- 13. Preliminaries to the Einstein equations -- 14. Die Grundlagen der physik -- 15. The Frobenius theorem -- 16. Connections on principal bundles -- 17. Reduction of principal bundles -- 18. Superconnections -- 19. Semi-Riemannian submersions.