On Chernʼs problem for rigidity of minimal hypersurfaces in the spheres

2011/02/02 by Qi Ding, Y. L. Xin, Y.L. Xin · 11 citations
Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · doi:10.1016/j.aim.2011.01.018

Citations

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

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• A new characterization of the Clifford torus via scalar curvature pinching
• 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
• Classification and rigidity of self-shrinkers in the Mean curvature flow
• Chern conjecture on minimal hypersurfaces
• On embedded minimal hypersurfaces in Sⁿ⁺¹ with symmetries
• The Rigidity Theorems for Self-Shrinkers in the Mean Curvature Flow