Embedded cmc hypersurfaces on hyperbolic spaces

2009/03/28 by Óscar Perdomo, Perdomo, Oscar M.
Engineering · Mathematics · #53C42 53C50 #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.0903.4934

openalex publication_date 2009/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we will prove that for every integer n>1, there exists a real number H₀-2π, then, H can be realized as the mean curvature of a embedding of H^n-1× S¹ in the (n+1)-dimensional spaces Hⁿ⁺¹.

Related

• Embedded constant m^th mean curvature hypersurfaces on spheres
• New examples of constant mean curvature hypersurfaces in the sphere
• Embedded hypersurfaces with constant m^th mean curvature in a unit sphere
• Embedded constant mean curvature hypersurfaces on spheres
• An inverse approach to hyperspheres of prescribed mean curvature in Euclidean space