A new characterization of Clifford torus

被引：1

作者：

Dos Santos, Fabio R. ^{[1
]}

De Lima, Henrique F. ^{[1
]}

Velasquez, Marco A. L. ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Dept Matemat, BR-58429970 Campina Grande, Paraiba, Brazil

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2017年 / 91卷 / 1-2期

关键词：

Euclidean sphere; closed submanifolds; first strong stability eigenvalue; Clifford torus; MEAN-CURVATURE; SUBMANIFOLDS; STABILITY;

D O I：

10.5486/PMD.2017.7696

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend a previous sharp upper bound of the first strong stability eigenvalue due to ALIAS et al. [1], for the context of a closed submanifold immersed with nonzero parallel mean curvature vector field in the Euclidean sphere, and through this result, we obtain a new characterization for the Clifford torus.

引用

页码：133 / 142

页数：10

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