Cylindrical estimates for mean curvature flow in hyperbolic spaces

DOI10.3934/cpaa.2021016zbMath1467.53099OpenAlexW3131644166WikidataQ115483850 ScholiaQ115483850MaRDI QIDQ2032088

Zhengchao Ji

Publication date: 16 June 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021016

zbMATH Keywords

mean curvature flowgradient estimatehyperbolic spacessingularitycylindrical estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Flows related to mean curvature (53E10)

Cites Work

• Mean curvature flow of higher codimension in hyperbolic spaces
• Deforming three-manifolds with positive scalar curvature
• Cylindrical estimates for mean curvature flow of hypersurfaces in CROSSes
• Deforming hypersurfaces of the sphere by their mean curvature
• Flow by mean curvature of convex surfaces into spheres
• Mean curvature flow with surgeries of two-convex hypersurfaces
• Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature
• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• A fully nonlinear flow for two-convex hypersurfaces in Riemannian manifolds
• Three-manifolds with positive Ricci curvature
• The extension and convergence of mean curvature flow in higher codimension
• Convexity and cylindrical estimates for mean curvature flow in the sphere
• Mean curvature flow with surgery of mean convex surfaces in \(\mathbb R^3\)

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