A characterization of the grim reaper cylinder
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Publication:1755442
DOI10.1515/crelle-2016-0011zbMath1501.53097arXiv1508.01539OpenAlexW2963102529MaRDI QIDQ1755442
Publication date: 9 January 2019
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.01539
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Surfaces in Euclidean and related spaces (53A05) Flows related to mean curvature (53E10)
Related Items (11)
Uniqueness of the \([\varphi, \vec{e}_3\)-catenary cylinders by their asymptotic behaviour] ⋮ A Weierstrass type representation for translating solitons and singular minimal surfaces ⋮ Geometry of \([\varphi, {\mathbf{e}}_3\)-minimal surfaces in \(\mathbb{R}^3\)] ⋮ The global geometry of surfaces with prescribed mean curvature in ℝ³ ⋮ Maximum principles applied to translating solitons of the mean curvature flow in product spaces ⋮ Self-similar solutions to the MCF in \(\mathbb{R}^3\) ⋮ Translating solitons in Riemannian products ⋮ Mean curvature flow solitons in the presence of conformal vector fields ⋮ Translating solitons 𝐶¹-asymptotic to two half-hyperplanes ⋮ Equilibrium of surfaces in a vertical force field ⋮ Notes on translating solitons for mean curvature flow
Cites Work
- Controlling area blow-up in minimal or bounded mean curvature varieties
- Complete embedded self-translating surfaces under mean curvature flow
- On the topology of translating solitons of the mean curvature flow
- Uniqueness, symmetry, and embeddedness of minimal surfaces
- The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature
- Doubly periodic self-translating surfaces for the mean curvature flow
- Translating Tridents
- Elliptic regularization and partial regularity for motion by mean curvature
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