原始
发表于 2025-3-28 15:59:43
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可互换
发表于 2025-3-28 21:39:26
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过剩
发表于 2025-3-28 22:59:04
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受辱
发表于 2025-3-29 05:28:47
https://doi.org/10.1007/978-3-662-02950-3Category over Manifolds; Jet; Natural Bundle; Natural Operator; differential geometry; manifold; mathemati
鸽子
发表于 2025-3-29 10:31:08
ry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the followi
创作
发表于 2025-3-29 11:45:47
Book 1993s a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general
去世
发表于 2025-3-29 16:22:44
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Constitution
发表于 2025-3-29 21:39:57
Book 1993rphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M.
Myelin
发表于 2025-3-30 00:54:21
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addition
发表于 2025-3-30 05:47:17
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