Extremal Kahler metrics

被引：0
|
作者：
Szekelyhidi, Gabor [1 ]
机构：
[1] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II | 2014年
关键词：
Extremal metrics; Kahler-Einstein metrics; K-stability; CONSTANT SCALAR CURVATURE; BLOWING-UP; STABILITY; EXISTENCE; EQUATIONS; SURFACES; BODIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is a survey of some recent progress on the study of Calabi's extremal Kahler metrics. We first discuss the Yau-Tian-Donaldson conjecture relating the existence of extremal metrics to an algebro-geometric stability notion and we give some example settings where this conjecture has been established. We then turn to the question of what one expects when no extremal metric exists.
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页码：1017 / 1032
页数：16
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