A New Characterization of the Clifford Torus

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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.
8 pages

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Differential Geometry, Symplectic Geometry, 53C42 - 53D10 - 53D35

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http://salesiana.dossiersoluciones.com/handle/123456789/107675

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601583
 http://arxiv.org/abs/math/0601583

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arXiv