Complex Manifolds without Potential Theory
with an appendix on the geometry of characteristic classes
2nd Edition
Published on 18. June 1979
Book
Paperback/Softback
V, 154 pages
978-0-387-90422-1 (ISBN)
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#
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#
Reviews / Votes
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#More details
Series
Edition
Second Edition 1979
Language
English
Place of publication
New York
United States
Target group
Primary & secondary/elementary & high school
Graduate
Edition type
New edition
Illustrations
V, 154 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 10 mm
Weight
260 gr
ISBN-13
978-0-387-90422-1 (9780387904221)
DOI
10.1007/978-1-4684-9344-3
Schweitzer Classification
Other editions
Additional editions
Shiing-Shen Chern
Complex Manifolds without Potential Theory
with an appendix on the geometry of characteristic classes
E-Book
06/2013
2nd Edition
Springer
€74.89
Available for download
Content
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 Kählerian 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.