Kähler-Einstein metrics and integral invariants

Resource Information

The work Kähler-Einstein metrics and integral invariants represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Kähler-Einstein metrics and integral invariants

Statement of responsibility

Akito Futaki

Creator

• Futaki, Akito, 1954-

Subject

• Complex manifolds
• Complex manifolds
• Complex manifolds
• Hermitian structures
• Hermitian structures
• Hermitian structures
• Kompakte komplexe Mannigfaltigkeit
• Kähler-Einstein-Metrik
• Kählerian structures
• Kählerian structures
• Kählerian structures
• Riemann-vlakken
• Structures hermitiennes
• Structures kählériennes
• Variétés complexes
• Algebraïsche meetkunde

Language

eng

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 collected here, dealing with its origin, generalizations, sufficiency for the existence of a Khler-Einstein metric and lifting to a group character. Other related topics such as extremal Khler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Khlerian 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

Member of

• Lecture notes in mathematics (Springer-Verlag), 1314

Cataloging source

SPLNM

Dewey number

• 510 s
• 516.3/62

Index

index present

LC call number

• QA3
• QA614

LC item number

.L28 no. 1314

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics,

Series volume

1314