A Characterization of Minimal Surfaces in S⁵ with Parallel Normal Vector Field

2006/11/08 by Rodrigo Ristow Montes, Montes, Rodrigo Ristow
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.DG #math.SG #msc:53C42 #msc:53D10

paper · pdf · doi:10.48550/arxiv.math/0611207

arxiv created 2006/11/08 · arxiv updated 2009/12/01

Abstract

In this paper we proof that the Holomorphic angle for compact minimal surfaces in the sphere S⁵ with constant Contact angle and with a parallel normal vector field must be constant.

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