A new gap for CMC biharmonic hypersurfaces in Euclidean spheres

2021/09/23 by Simona Nistor, Nistor, Simona
Mathematics · #53C21 #53C24 #53C40 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2109.11197

openalex publication_date 2021/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we improve a gap result concerning the range of the mean curvature of complete CMC proper-biharmonic hypersurfaces in unit Euclidean spheres.

Related

• Gap results for biharmonic submanifolds in spheres
• Unique Continuation Property for Biharmonic Hypersurfaces in Spheres
• Biharmonic tori in spheres
• Properties of biharmonic submanifolds in spheres
• CMC proper-biharmonic surfaces of constant Gaussian curvature in spheres