Kähler-Einstein metrics and integral invariants [electronic resource] / Akito Futaki.

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 manifol...

Full description

Saved in:
Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Futaki, Akito, 1954-
Format: Electronic eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, ©1988.
Series:Lecture notes in mathematics (Springer-Verlag) ; 1314.
Subjects:
Table of 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.