Foundations of differentiable manifolds and Lie groups

Frank W. Warner

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

[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.

「Nielsen BookData」より

[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.

「Nielsen BookData」より

この本の情報

書名 Foundations of differentiable manifolds and Lie groups
著作者等 Warner, Frank W.
Warner Frank W.
シリーズ名 Graduate texts in mathematics
出版元 Springer
刊行年月 c1983
版表示 1st ed. 1971. 2nd printing 1983
ページ数 ix, 272 p.
大きさ 24 cm
ISBN 3540908943
0387908943
9781441928207
NCID BA00016048
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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