A Congruence Theorem for Minimal Surfaces in S⁵ with Constant Contact Angle

2006/11/28 by Rodrigo Ristow Montes, Montes, Rodrigo Ristow, José A. Verderesi +2
Mathematics · #53C42 - 53D10 - 53D35 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C42 #msc:53D10 #msc:53D35

paper · pdf · doi:10.48550/arxiv.math/0611888

9 pages

arxiv created 2006/11/28 · openalex publication_date 2006/11/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a congruence theorem for minimal surfaces in S⁵ with constant contact angle using Gauss-Codazzi-Ricci equations. More precisely, we prove that Gauss-Codazzi-Ricci equations for minimal surfaces in S⁵ 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 S⁵ with constant contact angle.

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