Minimal Surfaces in S³ with Constant Contact Angle

2007/05/22 by Rodrigo Ristow Montes Jose A. Verderesi, Verderesi, Rodrigo Ristow Montes Jose A.
Mathematics · #53C40 53C42 53D10 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0705.3089

openalex publication_date 2007/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a characterization of the Clifford Torus in S3 via moving frames and contact structure equations. More precisely, we prove that minimal surfaces in S3 with constant contact angle must be the Clifford Torus. Some applications of this result are then given, and some examples are discussed.

Related

• A New Characterization of the Clifford Torus
• Some minimal submanifolds generalizing the Clifford torus
• New minimal surfaces in S³ desingularizing the Clifford tori
• Contact Angle for Immersed Surfaces in S²ⁿ⁺¹
• Classical mechanics of minimal tori in S³