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.
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Series: |
Oberwolfach Seminars, 8 |
Release date: |
1987 |
First published: |
1987 |
Authors: |
Y.-T. Siu
|
Dimensions: |
244 x 170 x 9mm (L x W x T) |
Format: |
Paperback
|
Pages: |
172 |
Edition: |
1987 ed. |
ISBN-13: |
978-3-7643-1931-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
Promotions
|
LSN: |
3-7643-1931-3 |
Barcode: |
9783764319311 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!