Titlebook: Differential Analysis on Complex Manifolds; R. O. Wells Textbook 19802nd edition Springer Science+Business Media New York 1980 Analysis.ca

antiquated

OTTER

串通

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

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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

裁決

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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

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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

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

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