Contact Angle for Immersed Surfaces in S²ⁿ⁺¹

2003/04/04 by Rodrigo Ristow Montes, Montes, Rodrigo Ristow, Jose A. Verderesi +1
Mathematics · #53D10 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53D10

paper · pdf · doi:10.48550/arxiv.math/0304052

11 pages

arxiv created 2003/04/04 · arxiv updated 2009/11/30

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⁺¹ and give a characterization of the generalized Clifford Torus as the only non-legendrian minimal surface in S⁵ with constant Contact and Kaehler angles.

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