Characterization of Clifford Torus in Three-Spheres

We characterize spheres and the tori, the product of the two plane circles immersed in the three-dimensional unit sphere, which are associated with the Laplace operator and the Gauss map defined by the elliptic linear Weingarten metric defined on closed surfaces in the three-dimensional sphere.

Bibliographic Details
Main Authors: Dong-Soo Kim, Young Ho Kim, Jinhua Qian
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/5/718