Fundamentals of Differential Geometry /
This is the new edition of Serge Lang's "Differential and Riemannian Manifolds." This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1999.
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| Series: | Graduate texts in mathematics ;
191. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This is the new edition of Serge Lang's "Differential and Riemannian Manifolds." This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for differential equations and the flow of a vector field; the basic theory of vector bundles including the existence of tubular neighborhoods for a submanifold; the calculus of differential forms; basic notions of symplectic manifolds, including the canonical 2-form; sprays and covariant derivatives for Riemannian and pseudo-Riemannian manifolds; applications to the exponential map, including the Cartan-Hadamard theorem and the first basic theorem of calculus of variations. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xvii, 540 pages) |
| ISBN: | 9781461205418 (electronic bk.) 1461205417 (electronic bk.) |
| ISSN: | 0072-5285 ; |