Introduction to smooth manifolds
- New York: Springer, 2003.
- xvii, 628 p. : il. ;
- Graduate texts in mathematics no. 218 .
- Graduate texts in mathematics no. 218 .
Tabla de contenido: Smooth Manifolds Smooth Maps Tangent Vectors Vector Fields Vector Bundles The Cotangent Bundle Submersions, Immersions, and Embeddings Submanifolds Lie Groups Actions Embedding and Approximation Theorems Tensors Differential Forms Orientations Integration on Manifolds De Rham Cohomology The de Rham Theorem Integral Curves and Flows Lie Derivatives Integral Manifolds and Foliations Lie Groups and Their Lie Algebras Appendix: Review of Prerequisites - References - Index