Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry

被引：26
作者：
Darvas, Tamas [1 ]
Lu, Chinh H. [2 ]
机构：
[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA
[2] Univ Paris Saclay, Univ Paris Sud, CNRS, Lab Math Orsay, Orsay, France
来源：
GEOMETRY & TOPOLOGY | 2020年 / 24卷 / 04期
关键词：
COMPLEX MONGE-AMPERE; KAHLER-EINSTEIN METRICS; K-STABILITY; SCALAR CURVATURE; ENERGY; REGULARIZATION; MONOTONICITY; INEQUALITIES; EMBEDDINGS; UNIQUENESS;
D O I：
10.2140/gt.2020.24.1907
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the essentially optimal form of Donaldson's geodesic stability conjecture regarding existence of constant scalar curvature Kahler metrics. We carry this out by exploring in detail the metric geometry of Mabuchi geodesic rays, and the uniform convexity properties of the space of Kahler metrics.
引用
收藏
页码：1907 / 1967
页数：61
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