Connecting toric manifolds by conical Kahler-Einstein metrics

被引：7

作者：

Datar, Ved ^{[1
]}

Guo, Bin ^{[2
]}

Song, Jian ^{[3
]}

Wang, Xiaowei ^{[4
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Columbia Univ, Dept Math, New York, NY 10027 USA

[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[4] Rutgers State Univ, Dept Math & Comp Sci, Newark, NJ 07102 USA

来源：

ADVANCES IN MATHEMATICS | 2018年 / 323卷

基金：

美国国家科学基金会;

关键词：

Conical Kahler-Einstein metrics; Toric manifolds; MONGE-AMPERE EQUATIONS; GREATEST LOWER BOUNDS; RICCI CURVATURE; SINGULARITIES; VARIETIES; FACTORIZATION; STABILITY; LIMITS;

D O I：

10.1016/j.aim.2017.10.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give criterions for the existence of toric conical Kahler-Einstein and Kahler-Ricci soliton metrics on any toric manifold in relation to the greatest Ricci and Bakry-Emery-Ricci lower bound. We also show that any two toric manifolds with the same dimension can be joined by a continuous path of toric manifolds with conical Kahler Einstein metrics in the Gromov-Hausdorff topology. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：38 / 83

页数：46

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