A Remark on Compact Minimal Surfaces in S⁵ with Non-Negative Gaussian Curvature

2007/04/17 by Rodrigo Ristow Montes, Montes, Rodrigo Ristow
Mathematics · #53D10 53C42 53C21 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53C21 #msc:53C42 #msc:53D10

paper · pdf · doi:10.48550/arxiv.0704.2102

arxiv created 2007/04/17 · openalex publication_date 2007/04/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we classify compact minimal surfaces in S⁵ with non-negative Gaussian curvature using the notion of a contact angle.

Related

• A Congruence Theorem for Minimal Surfaces in S⁵ with Constant Contact Angle
• Contact Angle for Immersed Surfaces in S²ⁿ⁺¹
• A Characterization of Minimal Surfaces in S⁵ with Parallel Normal Vector Field
• A New Characterization of the Clifford Torus
• A note on surfaces with parallel mean curvature