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Characterization of Clifford Torus in Three-Spheres

Author

Listed:
  • Dong-Soo Kim

    (Department of Mathematics, Chonnam National University, Gwangju 61186, Korea
    These authors contributed equally to this work.)

  • Young Ho Kim

    (Department of Mathematics, Kyungpook National University, Daegu 41566, Korea
    These authors contributed equally to this work.)

  • Jinhua Qian

    (Department of Mathematics, Northeastern University, Shenyang 110004, China
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Dong-Soo Kim & Young Ho Kim & Jinhua Qian, 2020. "Characterization of Clifford Torus in Three-Spheres," Mathematics, MDPI, vol. 8(5), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:718-:d:353656
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