Complex manifolds without potential theory : with an appendix on the geometry of characteristic classes
Author(s)
Bibliographic Information
Complex manifolds without potential theory : with an appendix on the geometry of characteristic classes
（Universitext）
Springer-Verlag, c1979
2nd ed
- : [us]
- : [gw]
Available at / 67 libraries
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Science and Technology Library, Kyushu University
: [us]103/CHE027232003182915,
058211981503435 -
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: [us]CHE||14||2(2)||複本2673840
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc19:513.8/c4232021041633
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Note
Includes bibliographies and index
Description and Table of Contents
- Volume
-
: [us] ISBN 9780387904221
Description
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 influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress....
The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#
Table of Contents
- 1. Introduction and Examples.- 2. Complex and Hermitian Structures on a Vector Space.- 3. Almost Complex Manifolds
- Integrability Conditions.- 4. Sheaves and Cohomology.- 5. Complex Vector Bundles
- Connections.- 6. Holomorphic Vector Bundles and Line Bundles.- 7. Hermitian Geometry and Kahlerian Geometry.- 8. The Grassmann Manifold.- 9. Curves in a Grassmann Manifold.- Appendix: Geometry of Characteristic Classes.- 1. Historical Remarks and Examples.- 2. Weil Homomorphism.- 3. Secondary Invariants.- 5. Vector Fields and Characteristic Numbers.- 6. Holomorphic Curves.- References.
- Volume
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: [gw] ISBN 9783540904229
Description
Based on the author's lectures at the University of California, this advanced text describes the new methods of complex manifold theory which make useful tools for investigations in the fields of algebraic geometry, complex function theory and differential operators.
by "Nielsen BookData"
