Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics #94) (Hardcover)

By Frank W. Warner

Springer, 9780387908946, 276pp.

Publication Date: October 10, 1983

Other Editions of This Title:
Paperback (12/1/2010)

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Description

Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem.