Singularity models of pinched solutions of mean curvature flow in higher codimension

DOI10.1515/crelle-2022-0068zbMath1505.35066arXiv1910.03968OpenAlexW2979418305MaRDI QIDQ2112359

Keaton Naff

Publication date: 10 January 2023

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03968

zbMATH Keywords

two pointwise derivative estimates

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

Related Items (2)

Collapsing and noncollapsing in convex ancient mean curvature flow ⋮ Convexity estimates for high codimension mean curvature flow

Cites Work

• Unnamed Item
• Unnamed Item
• Mean curvature flow of pinched submanifolds to spheres
• Flow by mean curvature of convex surfaces into spheres
• Convex ancient solutions of the mean curvature flow
• Interior estimates for hypersurfaces moving by mean curvature
• Mean curvature flow with surgeries of two-convex hypersurfaces
• Singularity profile in the mean curvature flow
• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• Unique asymptotics of ancient convex mean curvature flow solutions
• Type-II singularities of two-convex immersed mean curvature flow
• Convex hypersurfaces with pinched second fundamental form
• Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions
• A planarity estimate for pinched solutions of mean curvature flow
• Uniqueness of two-convex closed ancient solutions to the mean curvature flow
• Mean curvature flow with surgery
• Uniqueness of convex ancient solutions to mean curvature flow in \({\mathbb {R}}^3\)
• Rotational symmetry of self-similar solutions to the Ricci flow
• Uniqueness of the bowl soliton
• Ancient solutions to the Ricci flow in dimension \(3\)
• Mean Curvature Flow of Mean Convex Hypersurfaces
• A sharp inscribed radius estimate for fully nonlinear flows
• The nature of singularities in mean curvature flow of mean-convex sets
• The size of the singular set in mean curvature flow of mean-convex sets
• On Hypersurfaces with no Negative Sectional Curvatures
• Four-manifolds with positive isotropic curvature
• Mean curvature flow with surgery of mean convex surfaces in \(\mathbb R^3\)

This page was built for publication: Singularity models of pinched solutions of mean curvature flow in higher codimension