ALMOST RIGIDITY OF CONVEX HYPERSURFACES VIA THE EXTINCTION TIME OF MEAN CURVATURE FLOW

DOI10.4134/BKMS.b200594zbMath1480.53107OpenAlexW3216301688MaRDI QIDQ5162247

Xian-Tao Huang

Publication date: 2 November 2021

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=E1BMAX&py=2021&vnc=v58n4&sp=877

zbMATH Keywords

mean curvature flowconvex hypersurfacealmost rigidity

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Rigidity results (53C24) Flows related to mean curvature (53E10)

Cites Work

• Flow by mean curvature of convex surfaces into spheres
• Interior estimates for hypersurfaces moving by mean curvature
• A compactness theorem for surfaces with \(L_ p\)-bounded second fundamental form
• Harnack estimate for the mean curvature flow
• Shape of manifolds with positive Ricci curvature
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• Almost-rigidity and the extinction time of positively curved Ricci flows

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