Prescribed scalar curvatures for homogeneous toric bundles

被引：4

作者：

Chen, Bohui ^{[1
]}

Han, Qing ^{[2
,3
]}

Li, An-Min ^{[1
]}

Lian, Zhao ^{[4
]}

Sheng, Li ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

[3] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China

[4] Southwest Jiaotong Univ, Dept Math, Chengdu 611756, Sichuan, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2019年 / 63卷

关键词：

Homogeneous toric bundle; Generalized Abreu equation; Prescribed scalar curvature; EXTREMAL METRICS; KAHLER GEOMETRY; STABILITY;

D O I：

10.1016/j.difgeo.2019.01.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the generalized Abreu equation on a Delzant ploytope Delta subset of R-2 and prove the existence of metrics with prescribed scalar curvatures of homogeneous toric bundles under the assumption of an appropriate stability. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：186 / 211

页数：26

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