Fundamentals of differential geometry
By: Serge Lang.
Series: Graduate texts in mathematics ;; 191
Publisher: Springer
Published: 1999
Place of publication: New York
Language: eng
Number of pages: 535
Subjects: Geometry, Differential
Description: "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; and applications to the exponential map, including the Cartan-Hadamard theorem and the first basic theorem of calculus of variations."--BOOK JACKET.
Notes: Includes bibliographical references (p. 523-530) and index.