Critical metrics with cyclic parallel Ricci tensor for volume functional on manifolds with boundary

被引：6
|
作者：
Sheng, Weimin [1 ]
Wang, Lisheng [1 ]
机构：
[1] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
来源：
GEOMETRIAE DEDICATA | 2019年 / 201卷 / 01期
关键词：
Cyclic parallel Ricci tensor; Volume functional; Space form; Critical metrics;
D O I：
10.1007/s10711-018-0391-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the critical metrics with cyclic parallel Ricci tensor for volume functional on manifolds with boundary. We show such metric is isometric to a geodesic ball in a simply connected space form Rn, Hn or Sn under some extra conditions.
引用
收藏
页码：243 / 251
页数：9
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