Characterization of Clifford Torus in Three-Spheres

Dong-Soo Kim, Young Ho Kim and Jinhua Qian
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Dong-Soo Kim: Department of Mathematics, Chonnam National University, Gwangju 61186, Korea
Young Ho Kim: Department of Mathematics, Kyungpook National University, Daegu 41566, Korea
Jinhua Qian: Department of Mathematics, Northeastern University, Shenyang 110004, China

Mathematics, 2020, vol. 8, issue 5, 1-11

Abstract: 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.

Keywords: elliptic linear Weingarten metric; finite-type immersion; Gauss map; isoparametric surface; torus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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