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Fundamentals of Differential Geometry

Fundamentals of Differential Geometry

by Serge Lang
Hardback
Publication Date: 30/12/1998

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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.
ISBN:
9780387985930
9780387985930
Category:
Algebraic topology
Format:
Hardback
Publication Date:
30-12-1998
Language:
English
Publisher:
Springer-Verlag New York Inc.
Country of origin:
United States
Edition:
4th Edition
Pages:
540
Dimensions (mm):
235x155x31mm
Weight:
2.13kg

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