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ISBN:0387192506
Author: Akito Futaki
ISBN13: 978-0387192505
Title: Kahler-Einstein Metrics and Integral Invariants (Lecture Notes in Mathematics)
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ePUB size: 1980 kb
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Language: English
Category: Science and Mathematics
Publisher: Springer Verlag (June 1, 1988)
Pages: 139

Kahler-Einstein Metrics and Integral Invariants (Lecture Notes in Mathematics) by Akito Futaki



Lecture Notes in Mathematics. Kahler-Einstein Metrics and. Integral Invariants. Berlin Heidelberg New York London Paris Tokyo. Author Akito Futaki Department of Mathematics College of General Education, Chiba University Yayoicho, Chiba 260, Japan. Kahler metrics Barycenter of moment map The character f as an obstruction Integrability condition of Kazdan and Warner An example with nontrivial f and reductive heM) Non-homogeneous Kahler-Einstein manifolds The character f as a classical invariant Lefschetz numbers Invariant polynomials of HCM) Linear dependence relations Relation to equivariant cohomology Lifting f to a group character Godbillon-Vey invariant.

Kahler-Einstein metrics and integral invariants. Discrete mathematics lecture notes Fractals and Hyperspaces (Lecture Notes in Mathematics). Discrete Mathematics. Yale Lecture Notes . Report "Kähler-Einstein Metrics and Integral Invariants (Lecture Notes in Mathematics)".

Akito Futaki Department of Mathematics College of General Education, Chiba University Yayoicho, Chiba 260, Japan. Mathematics Subject Classification (1980): 53C55 ISBN 3-540-19250-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-19250-6 Springer-Verlag New York Berlin Heidelberg.

K&hler-Einstein Metrics and Integral Invariants. Springer-Verlag Berlin Heidelberg NewYork London Paris Tokyo. Akito Futaki Department of Mathematics College of General Education, Chiba University Yayoicho, Chiba 260, Japan. Mathematics Subject Classification (1980): 53C55. ISBN 3-540-19250-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-19250-6 Springer-Verlag New York Berlin Heidelberg. Futaki, Akito, 1954- K. ler-Einstein metrics and integral invariants, Akito Futaki. p. c. (Lecture notes in mathematics; 1314) Bibliography: p. Includes index. ISBN 0-387-19250-6 (. 1. Complex manifolds. 2. Hermitian structures.

These notes present very recent results on compact Kahler-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 Kahler-Einstein metric. These notes present very recent results on compact Kahler-Einstein manifolds of positive scalar curvature  . Kähler-Einstein Metrics and Integral Invariants (Lecture Notes in Mathematics).

Series: Lecture Notes in Mathematics 1314. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. The Handbook of Highway Engineering.

These notes present very recent results on compact Kähler-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 Kähler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kähler-Einstein metric and lifting to a group character

Author: Akito Futaki, Date: 28 Feb 2008, Views: Springer-Verlag Berlin 1988-12-31 ISBN:3540192506 Djvu 139 pages 1,1 Mb. Kahler-Einstein Metrics and Integral Invariants.

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 notes present very recent results on compact Kähler-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 Kähler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kähler-Einstein metric and lifting to a group character. Other related topics such as extremal Kähler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Kählerian geometry and Chern-Simons theory are presented in full detail, these notes are accessible to graduate students as well as to specialists of the subject.