A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in
An introduction to extremal Kähler metrics
✍ Scribed by Székelyhidi, Gábor
- Publisher
- AMS
- Year
- 2014
- Tongue
- English
- Leaves
- 210
- Series
- GSM 152
- Category
- Library
No coin nor oath required. For personal study only.
✦ Table of Contents
Cover
Title page
Contents
Preface
Introduction
Kähler geometry
Analytic preliminaries
Kähler-Einstein metrics
Extremal metrics
Moment maps and geometric invariant theory
K-stability
The Bergman kernel
CscK metrics on blow-ups
Bibliography
Index
Back Cover
✦ Subjects
Differential geometry, Algebraic geometry
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A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in
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