Description

Book Synopsis
Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.

Table of Contents
Reimannian geometry:; Part 1 introduction Differentiable manifolds and vector bundles Metric, connection, and curvature The geometry of complete Riemannian manifolds Complex manifolds:; Part 2 introduction Complex manifolds and analytic varieties Holomorphic vector bundles, sheaves and cohomology Compact complex surfaces Kahler geometry:; Part 3 introduction Hermitian and Kahler metrics Compact Kahler manifolds Kahler geometry Bibliography Index.

Complex Differential Geometry

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    A Paperback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 1/30/2002 12:00:00 AM
      ISBN13: 9780821829608, 978-0821829608
      ISBN10: 0821829602

      Description

      Book Synopsis
      Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.

      Table of Contents
      Reimannian geometry:; Part 1 introduction Differentiable manifolds and vector bundles Metric, connection, and curvature The geometry of complete Riemannian manifolds Complex manifolds:; Part 2 introduction Complex manifolds and analytic varieties Holomorphic vector bundles, sheaves and cohomology Compact complex surfaces Kahler geometry:; Part 3 introduction Hermitian and Kahler metrics Compact Kahler manifolds Kahler geometry Bibliography Index.

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