Smooth Compactness for Spaces of Asymptotically Conical Self-Expanders of Mean Curvature Flow
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Publication:5068163
DOI10.1093/imrn/rnz087zbMath1490.53107arXiv1804.09076OpenAlexW2963171281WikidataQ127942575 ScholiaQ127942575MaRDI QIDQ5068163
Publication date: 5 April 2022
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.09076
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Flows related to mean curvature (53E10)
Related Items (13)
Volume properties and rigidity on self-expanders of mean curvature flow ⋮ Ancient asymptotically cylindrical flows and applications ⋮ Constant weighted mean curvature hypersurfaces in shrinking Ricci solitons ⋮ Rotational symmetry of solutions of mean curvature flow coming out of a double cone ⋮ Closed hypersurfaces of low entropy in \({\mathbb{R}^4}\) are isotopically trivial ⋮ Rotational symmetry of solutions of mean curvature flow coming out of a double cone. II. ⋮ Convexity of 2-convex translating and expanding solitons to the mean curvature flow in \(\mathbb{R}^{n+1}\) ⋮ Entropy in mean curvature flow ⋮ An integer degree for asymptotically conical self-expanders ⋮ Mean convex smoothing of mean convex cones ⋮ Self-expanders of the mean curvature flow ⋮ A mountain-pass theorem for asymptotically conical self-expanders ⋮ Superconvexity of the heat kernel on hyperbolic space with applications to mean curvature flow
Cites Work
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- Volume growth eigenvalue and compactness for self-shrinkers
- Generic mean curvature flow. I: Generic singularities
- Smooth compactness of self-shrinkers
- Deforming hypersurfaces of the sphere by their mean curvature
- Generalized Poincaré's conjecture in dimensions greater than four
- A local regularity theorem for mean curvature flow
- Asymptotic behavior for singularities of the mean curvature flow
- Mean curvature evolution of entire graphs
- Interior estimates for hypersurfaces moving by mean curvature
- New applications of mapping degrees to minimal surface theory
- Shortening embedded curves
- Asymptotic behavior of anisotropic curve flows
- Elliptic partial differential equations of second order
- On short time existence for the planar network flow
- Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals
- The space of asymptotically conical self-expanders of mean curvature flow
- Minimal cones and self-expanding solutions for mean curvature flows
- Sur les difféomorphismes de la sphère de dimension trois \(\Gamma_ 4 = 0\)
- La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
- Introduction to Smooth Manifolds
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Elliptic regularization and partial regularity for motion by mean curvature
- Stratification of minimal surfaces, mean curvature flows, and harmonic maps.
- An Infinite Dimensional Version of Sard's Theorem
- Diffeomorphisms of the 2-Sphere
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