Curvature in mathematics and physics / Shlomo Sternberg.
By: Sternberg, Shlomo.
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
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 |
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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.