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Contact Angle for Immersed Surfaces in $S^{2n+1}$

Differential Geometry 2007-05-23 v1

Abstract

In this paper we introduce the notion of contact angle. We deduce formulas for Laplacian and Gaussian curvature of a minimal surface in S2n+1S^{2n+1} and give a characterization of the generalized Clifford Torus as the only non-legendrian minimal surface in S5S^5 with constant Contact and Kaehler angles.

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Cite

@article{arxiv.math/0304052,
  title  = {Contact Angle for Immersed Surfaces in $S^{2n+1}$},
  author = {Rodrigo Ristow Montes and Jose A. Verderesi},
  journal= {arXiv preprint arXiv:math/0304052},
  year   = {2007}
}

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11 pages