The scalar curvature of minimal hypersurfaces in spheres

1983/03/01 by Chia-Kuei Peng, Chiakuei Peng, Chuu-Lian Terng · 11 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · doi:10.1007/bf01458707

Citations

• Local Rigidity Theorems for Minimal Hypersurfaces
• Minimal Varieties in Riemannian Manifolds

Cited by

• Volume gap for minimal submanifolds in spheres
• Chern conjecture and isoparametric hypersurfaces
• Pinching rigidity of surfaces with parallel mean curvature vector in spheres
• A new characterization of the Clifford torus via scalar curvature pinching
• Some results on Chern's problem
• A lower bound for L₂ length of second fundamental form on minimal hypersurfaces
• A new pinching theorem for complete self-shrinkers and its generalization
• Ancient solutions to mean curvature flow for isoparametric submanifolds
• Minimal Hypersurfaces with constant scalar curvature in S⁶
• The second pinching theorem for hypersurfaces with constant mean curvature in a sphere
• Chern conjecture on minimal hypersurfaces