From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the infl
Complex manifolds without potential theory
โ Scribed by Chern S.S.
- Publisher
- Van Nostrand
- Year
- 1967
- Tongue
- English
- Leaves
- 96
- Series
- Mathematical studies, no.15
- Edition
- 1ed
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Early edition
โฆ Table of Contents
Title page......Page 1
Copyright page......Page 2
CONTENTS......Page 3
ยง1. Introduction and examples......Page 5
ยง2. Complex and hermitian structures on a vector space......Page 10
ยง3. Almost complex manifolds; integrability conditions......Page 16
ยง4. Sheaves and cohomology......Page 27
ยง5. Complex vector bundles; connections......Page 34
ยง6. Holomorphic vector bundles and line bundles......Page 48
ยง7. Hermitian geometry and kahlerian geometry......Page 56
ยง8. The Grassmann manifold......Page 68
ยง9. Curves in a Grassmann manifold......Page 83
Bibliography......Page 95
๐ SIMILAR VOLUMES
<p><B>From the reviews of the second edition</B>: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially unde
<p><strong>`</strong>The proceedings are recommended for those who are interested in complex function theory, potential theory, interpolation and approximation theory and related domains.<strong>'</strong><br/><strong>Acta Sci. Mathematica (1995)</strong></p>