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Kähler-Einstein Metrics and Integral Invariants (Lecture Notes in Mathematics) epub

by Akito Futaki


Kähler-Einstein Metrics and Integral Invariants (Lecture Notes in Mathematics) epub

ISBN: 3540192506

ISBN13: 978-3540192503

Author: Akito Futaki

Category: Science

Subcategory: Mathematics

Language: English

Publisher: Springer; 1988 edition (June 13, 1988)

Pages: 140 pages

ePUB book: 1344 kb

FB2 book: 1343 kb

Rating: 4.9

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Part of the Lecture Notes in Mathematics book series (LNM, volume 1314). These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature.

Part of the Lecture Notes in Mathematics book series (LNM, volume 1314). 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.

Lecture Notes in Mathematics. Kähler-Einstein Metrics and Integral Invariants. Authors: Futaki, Akito.

Author: Akito Futaki. Einstein Metrics and Yang-mills Connections (Lecture Notes in Pure and Applied Mathematics)

Author: Akito Futaki. Einstein Metrics and Yang-mills Connections (Lecture Notes in Pure and Applied Mathematics). Axiom of Choice (Lecture Notes in Mathematics). Report "Kähler-Einstein Metrics and Integral Invariants (Lecture Notes in Mathematics)".

Algebraic Topology (Mathematics lecture note series). American Monster: How the Nation's First Prehistoric Creature Became a Symbol of National Identity. An Introduction to the Linear Theories and Methods of Electrostatic Waves in Plasmas. Arcana Saitica Briefly Discussed In Three Essays On The Masonic Tracing Boards (1879).

Автор: Akito Futaki Название: K?hler-Einstein Metrics and Integral Invariants Издательство: Springer . Описание: These notes are based on the lectures I delivered at the German Mathematical Society Seminar in Schloss Michkeln in DUsseldorf in June.

Описание: These notes are based on the lectures I delivered at the German Mathematical Society Seminar in Schloss Michkeln in DUsseldorf in June.

These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature. Series: Lecture Notes in Mathematics 1314.

Similar to Kähler-Einstein metrics, these new metrics have various nice properties Akito Futaki. Contents: 1. Preliminaries. 2. Kähler-Einstein metrics and extremal Kähler metrics.

Similar to Kähler-Einstein metrics, these new metrics have various nice properties. A. FUTAKI, Kahler-Einstein metrics and integral invariants, Lecture Notes in Math. 1314, Springer-Verlag, Heidelberg, 1988. FUTAKI AND T. MABUCHI, Bilinear forms and extremal Kahler vector fields associated with Kahler classes, Math.

Kdhler-Einstein Metric. Kahler-Einstein Metrics and Integral Invariants (Lecture Notes in Mathematics). 0387192506 (ISBN13: 9780387192505).

Its publisher is Springer Science+Business Media (formerly Springer-Verlag).

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.