A planarity estimate for pinched solutions of mean curvature flow
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Publication:2119895
DOI10.1215/00127094-2021-0026zbMath1494.53102arXiv1906.08184OpenAlexW3137309911MaRDI QIDQ2119895
Publication date: 30 March 2022
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.08184
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Flows related to mean curvature (53E10)
Related Items (7)
Uniqueness of convex ancient solutions to hypersurface flows ⋮ A convergent finite element algorithm for mean curvature flow in arbitrary codimension ⋮ Ancient solutions to the Ricci flow with isotropic curvature conditions ⋮ Collapsing and noncollapsing in convex ancient mean curvature flow ⋮ Convexity estimates for high codimension mean curvature flow ⋮ Nonplanar ancient curve shortening flows in \(\mathbb{R}^3\) from grim reapers ⋮ Singularity models of pinched solutions of mean curvature flow in higher codimension
Cites Work
- Mean curvature flow of pinched submanifolds to spheres
- Flow by mean curvature of convex surfaces into spheres
- Complexity of parabolic systems
- A general convergence result for the Ricci flow in higher dimensions
- Mean curvature flow with surgeries of two-convex hypersurfaces
- Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
- Singularities of the curve shrinking flow for space curves
- An intrinsic rigidity theorem for minimal submanifolds in a sphere
- Convexity estimates for mean curvature flow and singularities of mean convex surfaces
- Three-manifolds with positive Ricci curvature
- Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions
- Ricci flow with surgery on manifolds with positive isotropic curvature
- Uniqueness of convex ancient solutions to mean curvature flow in \({\mathbb {R}}^3\)
- Mean Curvature Flow in Higher Codimension: Introduction and Survey
- Four-manifolds with positive isotropic curvature
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