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Complex Differential Geometry (AMS/IP Studies in Advanced Mathematics, 18)

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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.

Author(s): Fangyang Zheng
Series: AMS/IP 18
Edition: UK ed.
Publisher: Amer Mathematical Society
Year: 2002

Language: English
Commentary: decrypted from 925AF5B99B4F6930DAC4C6A98E987D82 source file
Pages: 264
Tags: Complex Geometry

Cover
Title page
Dedication
Contents
Preface
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
Kähler geometry
Part 3 introduction
Hermitian and Kähler metrics
Compact Kähler manifolds
Kähler geometry
Bibliography
Index
Back Cover