A two-point function, non-collapsing property and pinching estimates for inverse curvature flow in space forms

DOI10.1007/s10455-022-09826-4zbMath1487.53114OpenAlexW4210631134MaRDI QIDQ2116432

Wei Chen, Guang Han Li

Publication date: 17 March 2022

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-022-09826-4

zbMATH Keywords

two-point functioninverse curvature flownon-collapsing property

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows related to mean curvature (53E10)

Cites Work

• Unnamed Item
• Gradient estimates for inverse curvature flows in hyperbolic space
• Contracting convex hypersurfaces by curvature
• Embedded minimal tori in \(S^3\) and the Lawson conjecture
• Inverse curvature flows in hyperbolic space
• Noncollapsing in mean-convex mean curvature flow
• Inverse mean curvature flows in the hyperbolic 3-space revisited
• Non-collapsing for a fully nonlinear inverse curvature flow
• On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
• Flow of nonconvex hypersurfaces into spheres
• The quermassintegral inequalities for \(k\)-convex starshaped domains
• Singularity profile in the mean curvature flow
• An expansion of convex hypersurfaces
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Non-collapsing in fully non-linear curvature flows
• Non-scale-invariant inverse curvature flows in hyperbolic space
• Curvature flows in the sphere
• Inscribed radius estimates for inverse curvature flow in sphere and hyperbolic space
• On inverse mean curvature flow in Schwarzschild space and Kottler space
• New pinching estimates for inverse curvature flows in space forms
• Inverse curvature flows in Riemannian warped products
• The inverse mean curvature flow in rotationally symmetric spaces
• Two-sided non-collapsing curvature flows
• Non-collapsing for hypersurface flows in the sphere and hyperbolic space
• Mean Curvature Flow of Mean Convex Hypersurfaces
• A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold
• ENERGY EXTRACTION*
• The size of the singular set in mean curvature flow of mean-convex sets
• Pinching estimates and motion of hypersurfaces by curvature functions

This page was built for publication: A two-point function, non-collapsing property and pinching estimates for inverse curvature flow in space forms