English

A New Characterization of the Clifford Torus

Differential Geometry 2007-05-23 v1 Symplectic Geometry

Abstract

In this paper we introduce the notion of contact angle for an immersed surface in three dimensional sphere. We deduce formulas for the Laplacian and for the Gaussian curvature, and we classify minimal surfaces in S3S^3 with constant contact angle. Also, we give an example of a minimal surface in S3S^3 with non constant contact angle.

Keywords

Cite

@article{arxiv.math/0601583,
  title  = {A New Characterization of the Clifford Torus},
  author = {Rodrigo Ristow Montes Jose Antonio Verderesi},
  journal= {arXiv preprint arXiv:math/0601583},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T17:30:29.926Z