A New Characterization of the Clifford Torus

Details A New Characterization of the Clifford Torus A New Characterization of the Clifford Torus

2006-01-24

arxiv.org/abs/math/0601583v1

Mathematics

Differential Geometry

8 pages

Scientific paper

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 $S^3$ with
constant contact angle. Also, we give an example of a minimal surface in $S^3$
with non constant contact angle.

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