A new characterization of Clifford torus

作者：Dos Santos Fabio R^*; De Lima Henrique F; Velasquez Marco A L

来源：Publicationes Mathematicae-Debrecen, 2017, 91(1-2): 133-142.

DOI：10.5486/PMD.2017.7696

• Euclidean sphere
• closed submanifolds
• first strong stability eigenvalue
• Clifford torus

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.

• 出版日期2017