publication . Preprint . 2006

A Congruence Theorem for Minimal Surfaces in $S^{5}$ with Constant Contact Angle

Montes, Rodrigo Ristow; Verderesi, Jose A.;
Open Access English
  • Published: 28 Nov 2006
Abstract
We provide a congruence theorem for minimal surfaces in $S^5$ with constant contact angle using Gauss-Codazzi-Ricci equations. More precisely, we prove that Gauss-Codazzi-Ricci equations for minimal surfaces in $S^5$ with constant contact angle satisfy an equation for the Laplacian of the holomorphic angle. Also, we will give a characterization of flat minimal surfaces in $S^5$ with constant contact angle.
Subjects
arXiv: Mathematics::Differential Geometry
free text keywords: Mathematics - Differential Geometry, 53C42 - 53D10 - 53D35
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