Titlebook: Differential Analysis on Complex Manifolds; Raymond O. Wells Textbook 2008Latest edition Springer-Verlag New York 2008 Analysis.Differenzi

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Textbook 2008Latest edition detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact

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,Kodaira’s Projective Embedding Theorem,rem asserts that projective algebraic manifolds are indeed ., i.e., defined by the zeros of homogeneous polynomials. Thus the combination of these two theorems allows one to reduce problems of analysis to ones of algebra (cf. Serre‘s famous paper [2] in which this program of comparison is carried out in great detail).

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0072-5285 ocks of many mathematical developments over the past 30 year.In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles

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Differential Geometry,undles. In Sec. 1 we shall give the basic definitions of the Hermitian analogues of the classical concepts of (Riemannian) metric, connection, and curvature. This is carried out in the context of differentiable C-vector bundles over a differentiable manifold .. More specific formulas are obtained in

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