antiquated
发表于 2025-3-25 07:03:06
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OTTER
发表于 2025-3-25 07:42:13
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串通
发表于 2025-3-25 15:32:56
Manifolds and Vector Bundles,ifolds, one of the principal results which will be proved in this book (see Chap. VI). The “geometry” of a manifold is, from our point of view, represented by the behavior of the tangent bundle of a given manifold. In Sec. 2 we shall develop the concept of the tangent bundle (and derived bundles) fr
门闩
发表于 2025-3-25 15:48:52
Differential Geometry,f a given vector bundle, and, in particular, to the given vector bundle being itself trivial. In the case of line bundles, we give a useful characterization of which cohomology classes in ..., Z) are the first Chern class of a line bundle. Additional references for the material covered here are Cher
裁决
发表于 2025-3-25 21:37:14
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indices
发表于 2025-3-26 03:44:51
Compact Complex Manifolds,pped with a Kahler metric). In terms of a Hermitian metric we define the Laplacian operators associated with the operators ., and . and show that when the metric is Kahler that the Laplacians are related in a simple way. We shall use this relationship in Sec. 5 to prove the Hodge decomposition theor
Enteropathic
发表于 2025-3-26 04:59:20
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gospel
发表于 2025-3-26 11:49:02
Manifolds and Vector Bundles,this book we are primarily interested in . and . We want to study (a) the “geometry” of manifolds, (b) the analysis of functions (or more general objects) which are defined on manifolds, and (c) the interaction of (a) and (b). Our basic interest will be the application of techniques of real analysis
Jogging
发表于 2025-3-26 15:12:05
Sheaf Theory, they unify and give a mechanism for dealing with many problems concerned with passage from local information to global information. This is very useful when dealing with, say, differentiable manifolds, since locally these look like Euclidean space, and hence localized problems can be dealt with by
induct
发表于 2025-3-26 19:13:47
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