Critical metrics of the volume functional with pinched curvature

被引：0
|
作者：
Baltazar, H. [1 ]
Queiroz, C. [1 ]
机构：
[1] Univ Fed Piaui, Dept Matemat, BR-64049550 Teresina, Piaui, Brazil
来源：
ILLINOIS JOURNAL OF MATHEMATICS | 2023年 / 67卷 / 04期
关键词：
COMPACT MANIFOLDS; SCALAR CURVATURE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove that a critical metric of the volume functional with pinched Weyl curvature is isometric to a geodesic ball in Sn. Moreover, we provide a necessary and sufficient condition on the norm of the gradient of the potential function in order to classify such critical metrics.
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收藏
页数：10
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