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Manifolds and differential geometry /
| Main Author: | |
|---|---|
| Format: | Printed Book |
| Published: |
Providence, R.I. :
American Mathematical Society,
c2009.
|
| Series: | Graduate studies in mathematics ;
v. 107. |
| Subjects: |
Table of Contents:
- Differentiable manifolds
- The tangent structure
- Immersion and submersion
- Curves and hypersurfaces in Euclidean space
- Lie groups
- Fiber bundles
- Tensors
- Differential forms
- Integration and Stokes' theorem
- De Rham cohomology
- Distributions and Frobenius' theorem
- Connections and covariant derivatives
- Riemannian and semi-Riemannian geometry
- Appendix A: The language of category theory
- Appendix B: Topology
- Appendix C: Some calculus theorems
- Appendix D: Modules and multilinearity.