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Kähler-Einstein metrics and integral invariants

Author: Akito Futaki
Publisher: Berlin ; New York : Springer-Verlag, ©1988.
Series: Lecture notes in mathematics (Springer-Verlag), 1314.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
These notes present very recent results on compact Khler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Khler-Einstein metric. Recent results concerning this character are  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Futaki, Akito, 1954-
Kähler-Einstein metrics and integral invariants.
Berlin ; New York : Springer-Verlag, ©1988
(DLC) 88012337
(OCoLC)17877868
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Akito Futaki
ISBN: 9783540391722 354039172X
OCLC Number: 294933437
Description: 1 online resource (iv, 139 pages).
Contents: Introduction --
Preliminaries --
Khler-Einstein Metrics and Extremal Khler Metrics --
The Character f and its Generalization to Khlerian Invariants --
The Character f as an Obstruction --
The Character f as a Classical Invariant --
Lifting f to a Group Character --
The Character f as a Moment Map --
Aubin's Approach and Related Results --
References --
Index.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1314.
Responsibility: Akito Futaki.

Abstract:

A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and  Read more...

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