Graphical translators for mean curvature flow
From MaRDI portal
Publication:2421544
DOI10.1007/s00526-019-1560-xzbMath1416.53062arXiv1805.10860OpenAlexW2962977696MaRDI QIDQ2421544
Francisco Martín, Brian White, Tom Ilmanen, David A. Hoffman
Publication date: 17 June 2019
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.10860
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Flows related to mean curvature (53E10)
Related Items
Ancient solutions for Andrews' hypersurface flow, Convexity estimate for translating solitons of concave fully nonlinear extrinsic geometric flows in \(\mathbb{R}^{n + 1}\), A Bernstein type theorem for ancient solutions to the mean curvature flow in arbitrary codimension, \(SO(2)\) symmetry of the translating solitons of the mean curvature flow in \(\mathbb{R}^4\), Ancient asymptotically cylindrical flows and applications, Uniqueness of the \([\varphi, \vec{e}_3\)-catenary cylinders by their asymptotic behaviour], Bi-Halfspace and Convex Hull Theorems for Translating Solitons, Mean convex properly embedded \([ \varphi , \vec{e}_3 \)-minimal surfaces in \(\mathbb{R}^3\)], Nguyen's tridents and the classification of semigraphical translators for mean curvature flow, A Weierstrass type representation for translating solitons and singular minimal surfaces, Rigidity results for mean curvature flow graphical translators moving in non-graphical direction, Morse–Radó theory for minimal surfaces, Convexity of 2-convex translating and expanding solitons to the mean curvature flow in \(\mathbb{R}^{n+1}\), Geometry of \([\varphi, {\mathbf{e}}_3\)-minimal surfaces in \(\mathbb{R}^3\)], Entire self-expanders for power of \(\sigma_k\) curvature flow in Minkowski space, Rigidity theorems of \(\lambda \)-translating solitons in Euclidean and Lorentz-Minkowski spaces, Invariant translators of the solvable group, Scherk-like translators for mean curvature flow, Non-homothetic convex ancient solutions for flows by high powers of curvature, Maximum principles applied to translating solitons of the mean curvature flow in product spaces, Hearing the shape of ancient noncollapsed flows in R4$\mathbb {R}^{4}$, Translating solitons over Cartan-Hadamard manifolds, A family of 3d steady gradient solitons that are flying wings, Maximum principles and consequences for γ$\gamma$‐translators in Rn+1${\mathbb {R}}^{n+1}$, Partial differential equations. Abstracts from the workshop held July 25--31, 2021 (hybrid meeting), Fractional mean curvature flow of Lipschitz graphs, Unnamed Item, Translating solitons in Riemannian products, Ancient Solutions in Geometric Flows, A zoo of translating solitons on a parallel light-like direction in Minkowski 3-space, A note on mean convex 𝜆-surfaces in ℝ³, Invariant translators of the Heisenberg group, Convexity of 2-convex translating solitons to the mean curvature flow in \(\mathbb{R}^{n+1}\), The Jenkins-Serrin problem for translating horizontal graphs in \(M\times\mathbb{R}\), Ancient and eternal solutions to mean curvature flow from minimal surfaces, A Calabi's type correspondence, Translating solitons 𝐶¹-asymptotic to two half-hyperplanes, Equilibrium of surfaces in a vertical force field, Translating solutions to mean curvature flow, Jenkins-Serrin graphs in \(M\times \mathbb{R} \), Notes on translating solitons for mean curvature flow, Flowing the leaves of a foliation with normal speed given by the logarithm of general curvature functions, On the existence of translating solutions of mean curvature flow in slab regions, Half-space type theorem for translating solitons of the mean curvature flow in Euclidean space, Ancient mean curvature flows out of polytopes, Convexity of 𝜆-hypersurfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Controlling area blow-up in minimal or bounded mean curvature varieties
- A strict maximum principle for area minimizing hypersurfaces
- Convex solutions to the mean curvature flow
- On the existence of translating solutions of mean curvature flow in slab regions
- Stability of translating solutions to mean curvature flow
- On the topology of translating solitons of the mean curvature flow
- Motion of level sets by mean curvature. III
- Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
- Curvature estimates and compactness theorems in 3-manifolds for surfaces that are stationary for parametric elliptic functionals
- Notes on translating solitons for mean curvature flow
- Translating graphs by mean curvature flow
- Elliptic regularization and partial regularity for motion by mean curvature
- The nature of singularities in mean curvature flow of mean-convex sets
- Sharp estimates for mean curvature flow of graphs
- Boundary regularity and embedded solutions for the oriented Plateau problem
- Scherk-like translators for mean curvature flow