Differential geometry of complex vector bundles / by Shoshichi Kobayashi.

Format:

Book

Author/Creator:

Kobayashi, Shōshichi, 1932-2012, author.

Series:

Publications of the Mathematical Society of Japan ; 15.

Publications of the Mathematical Society of Japan. Kano memorial lectures ; 5.

Publications of the Mathematical Society of Japan ; 15

Publications of the Mathematical Society of Japan. Kano memorial lectures ; 5

Language:

English

Subjects (All):

Vector bundles.

Vanishing theorems.

Physical Description:

1 online resource (317 p.)

Edition:

Course Book

Place of Publication:

[Tokyo] : Iwanami Shoten ; [Princeton, New Jersey] : Princeton University Press, 1987.

Language Note:

English

Summary:

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists working on gauge theory. This book, which grew out of the author's lectures and seminars in Berkeley and Japan, is written for researchers and graduate students in these various fields of mathematics.Originally published in 1987.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Contents:

Frontmatter

Preface / Kobayashi, S.

Contents

Chapter I. Connections in Vector Bundles

Chapter II. Chern Classes

Chapter III. Vanishing Theorems

Chapter IV Einstein-Hermitian vector bundles

Chapter V. Stable vector bundles

Chapter VI. Existence of approximate Einstein-Hermitian structures

Chapter VII. Moduli spaces of vector bundles

Bibliography

Index

Notations

Notes:

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

Description based on print version record.

Includes index.

Bibliography: pages [291]-298.

ISBN:

9780691632643

0691632642

9780691603292

0691603294

9781400858682

1400858682

OCLC:

896853193