Oberwolfach Seminars

Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics

Delivered at the German Mathematical Society Seminar in Düsseldorf in June, 1986

Authors: Siu, Yum-Tong

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About this book

These notes are based on the lectures I delivered at the German Mathematical Society Seminar in Schloss Michkeln in DUsseldorf in June. 1986 on Hermitian-Einstein metrics for stable bundles and Kahler-Einstein metrics. The purpose of these notes is to present to the reader the state-of-the-art results in the simplest and the most comprehensible form using (at least from my own subjective viewpoint) the most natural approach. The presentation in these notes is reasonably self-contained and prerequisi tes are kept to a minimum. Most steps in the estimates are reduced as much as possible to the most basic procedures such as integration by parts and the maximum principle. When less basic procedures are used such as the Sobolev and Calderon-Zygmund inequalities and the interior Schauder estimates. references are given for the reader to look them up. A considerable amount of heuristic and intuitive discussions are included to explain why certain steps are used or certain notions introduced. The inclusion of such discussions makes the style of the presentation at some places more conversational than what is usually expected of rigorous mathemtical prese"ntations. For the problems of Hermi tian-Einstein metrics for stable bundles and Kahler-Einstein metrics one can use either the continuity method or the heat equation method. These two methods are so very intimately related that in many cases the relationship betwen them borders on equivalence. What counts most is the a. priori estimates. The kind of scaffolding one hangs the a.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-0348-7486-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA in USD
  • ISBN 978-3-7643-1931-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Hermitian-Einstein Metrics for Stable Bundles and Kähler-Einstein Metrics
Book Subtitle
Delivered at the German Mathematical Society Seminar in Düsseldorf in June, 1986
Authors
Series Title
Oberwolfach Seminars
Series Volume
8
Copyright
1987
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-7486-1
DOI
10.1007/978-3-0348-7486-1
Softcover ISBN
978-3-7643-1931-1
Series ISSN
1661-237X
Edition Number
1
Number of Pages
172
Topics