Foundations of differentiable manifolds and Lie groups
著者
書誌事項
Foundations of differentiable manifolds and Lie groups
（Graduate texts in mathematics, 94）
Springer, c1983
- : us
- : gw
- : softcover
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注記
Originally published: Glenview, Ill. : Scott, Foresman, 1971
"Softcover reprint of the hardcover 1st edition 1983"--T.p. verso of softcover
Bibliography: p. 260-263
Includes indexes
内容説明・目次
内容説明
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.
目次
1 Manifolds.- 2 Tensors and Differential Forms.- 3 Lie Groups.- 4 Integration on Manifolds.- 5 Sheaves, Cohomology, and the de Rham Theorem.- 6 The Hodge Theorem.- Supplement to the Bibliography.- Index of Notation.
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