Some half-space theorems in the real projective space

被引：1
|
作者：
Velasquez, Marco A. L. [1 ]
de Lima, Henrique F. [1 ]
de Lacerda, Jose H. H. [1 ]
机构：
[1] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, PB, Brazil
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2023年 / 17卷 / 02期
关键词：
Real projective space; Linear Weingarten two-sided hypersurfaces; Strong stability; Geodesic spheres; CONSTANT MEAN-CURVATURE; LINEAR WEINGARTEN HYPERSURFACES; MINIMAL GRAPHS; STABILITY; SURFACES;
D O I：
10.1007/s40863-023-00371-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, under certain conditions on the mean and scalar curvatures, we prove that there are no strongly stable linear Weingarten closed two-sided hypersurfaces immersed in a certain region determined by a geodesic sphere of the (n + 1)-dimensional real projective space RPn+1. We also provide a rigidity result for these hypersurfaces.
引用
收藏
页码：595 / 614
页数：20
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