A New Characterization of the Clifford Torus

2006/01/24 by Rodrigo Ristow Montes Jose Antonio Verderesi, Verderesi, Rodrigo Ristow Montes Jose Antonio
Mathematics · #53C42 - 53D10 - 53D35 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.math/0601583

openalex publication_date 2006/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce the notion of contact angle for an immersed surface in three dimensional sphere. We deduce formulas for the Laplacian and for the Gaussian curvature, and we classify minimal surfaces in S³ with constant contact angle. Also, we give an example of a minimal surface in S³ with non constant contact angle.

Related

• Minimal Surfaces in S³ with Constant Contact Angle
• Contact Angle for Immersed Surfaces in S²ⁿ⁺¹
• Some minimal submanifolds generalizing the Clifford torus
• New minimal surfaces in S³ desingularizing the Clifford tori
• Minimal surfaces in the three-Sphere by doubling the Clifford Torus