严峻 发表于 2025-3-21 19:51:58

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DIS 发表于 2025-3-21 23:57:08

Characteristic Classes,Let = ∏∏ : . → M denote a rank n bundle over . with connection V and curvature . The Bianchi identity . = 0 from Exercise 94 implies that certain polynomial functions in . are closed differential forms on . and thus represent cohomology classes in .(M, ℝ). These classes are called . of ξ, and turn out to be independent of the choice of connection.

probate 发表于 2025-3-22 01:37:11

Gerard WalschapIncludes supplementary material:

Keratin 发表于 2025-3-22 05:43:39

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和蔼 发表于 2025-3-22 10:05:06

978-1-4419-1913-7Springer Science+Business Media New York 2004

蔓藤图饰 发表于 2025-3-22 16:52:37

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AROMA 发表于 2025-3-22 18:34:29

Fiber Bundles, In this case, each point of . has a neighborhood diffeomorphic to a product . x ℝ., where . is an open set in M. Of course, . itself need not be diffeomorphic to . x R . In most of the sequel, we will be concerned with manifolds that, roughly speaking, look locally like products. As usual, all maps are assumed to be differentiable.

Heart-Attack 发表于 2025-3-22 23:25:30

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Palpable 发表于 2025-3-23 04:17:05

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tooth-decay 发表于 2025-3-23 06:41:59

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查看完整版本: Titlebook: Metric Structures in Differential Geometry; Gerard Walschap Textbook 2004 Springer Science+Business Media New York 2004 Immersion.Riemanni