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Introduction to smooth manifolds /
| Autor principal: | |
|---|---|
| Formato: | Libro |
| Lenguaje: | English |
| Publicado: |
New York :
Springer,
2013.
|
| Edición: | Second edition. |
| Colección: | Graduate Texts in Mathematics ;
218 |
| Materias: |
Tabla de Contenidos:
- 1. Smooth manifolds
- 2. Smooth maps
- 3. Tangent vectors
- 4. Submersions, Immersions, and embeddings
- 5. Submanifolds
- 6. Sard's theorem
- 7. Lie groups
- 8. Vector fields
- 9. Integral curves and flows
- 10. Vector bundles
- 11. The contangent bundle
- 12. Tensors
- 13. Riemannian metrics
- 14. Differential forms
- 15. Orientations
- 16. Integration on manifolds
- 17. De Rham cohomology
- 18. The de Rham theorem
- 19. Distributions and foliations
- 20. The exponential map
- 21. Quotient manifolds
- 22. Symplectic manifolds
- Appendices.