About this product

Product Identifiers

PublisherSpringer New York

ISBN-100387904220

ISBN-139780387904221

eBay Product ID (ePID)171521

Product Key Features

Number of PagesV, 154 Pages

LanguageEnglish

Publication NameComplex Manifolds Without Potential Theory

Publication Year1979

SubjectGeneral, Mathematical Analysis

FeaturesRevised

TypeTextbook

Subject AreaMathematics

AuthorShiing-Shen Chern

SeriesUniversitext Ser.

FormatTrade Paperback

Dimensions

Item Weight19.4 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

LCCN94-041846

Dewey Edition20

ReviewsFrom 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#

Number of Volumes1 vol.

IllustratedYes

Dewey Decimal514/.223

Edition DescriptionRevised edition

Table Of Content1. 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.

SynopsisFrom 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#, 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#

LC Classification NumberQA299.6-433