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

共 50 条

[1] A characterization of the Clifford torus
Opozda, Barbara
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2011, 18 (03) : 509 - 516
[2] A characterization of the Clifford torus
Theodoros Vlachos
Archiv der Mathematik, 2005, 85 : 175 - 182
[3] A characterization of the Clifford torus
Vlachos, T
ARCHIV DER MATHEMATIK, 2005, 85 (02) : 175 - 182
[4] A characterization of the Clifford Torus
Guadalupe I.
Junior A.B.
Delgado J.A.
Rendiconti del Circolo Matematico di Palermo, 1999, 48 (3) : 537 - 540
[5] A characterization of the Clifford torus
Cheng, QM
Ishikawa, S
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (03) : 819 - 828
[6] A new characterization of the Clifford torus via scalar curvature pinching
Xu, Hong-wei
Xu, Zhi-yuan
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (10) : 3931 - 3962
[7] Characterization of Clifford Torus in Three-Spheres
Kim, Dong-Soo
Kim, Young Ho
Qian, Jinhua
MATHEMATICS, 2020, 8 (05)
[8] New Characterizations of the Clifford Torus and the Great Sphere
Jung, Sun Mi
Kim, Young Ho
Qian, Jinhua
SYMMETRY-BASEL, 2019, 11 (09):
[9] New Characterizations of the Clifford Torus as a Lagrangian Self-Shrinker
Haizhong Li
Xianfeng Wang
The Journal of Geometric Analysis, 2017, 27 : 1393 - 1412
[10] New Characterizations of the Clifford Torus as a Lagrangian Self-Shrinker
Li, Haizhong
Wang, Xianfeng
JOURNAL OF GEOMETRIC ANALYSIS, 2017, 27 (02) : 1393 - 1412

← 1 2 3 4 5 →