Helicoidal surfaces rotating/translating under the mean curvature flow
From MaRDI portal
Publication:1938046
DOI10.1007/s10711-012-9716-2zbMath1261.53007arXiv1106.4583OpenAlexW3122967604MaRDI QIDQ1938046
Publication date: 1 February 2013
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.4583
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (25)
Ruled surfaces of generalized self-similar solutions of the mean curvature flow ⋮ TRANSLATING SOLITONS FOR THE MEAN CURVATURE FLOW IN ⋮ On the complete 2-dimensional \(\lambda\)-translators with a second fundamental form of constant length ⋮ Isometric deformations of the \({\mathcal K}^{\frac{1}{4}}\)-flow translators in \(\mathbb{R}^3\) with helicoidal symmetry ⋮ Rigidity of symplectic translating solitons ⋮ On the topology of translating solitons of the mean curvature flow ⋮ Complete 3-dimensional \(\lambda \)-translators in the Minkowski space \(\mathbb{R}^4_1 \) ⋮ Bernstein type theorems of translating solitons of the mean curvature flow in higher codimension ⋮ Invariant translators of the solvable group ⋮ Self-similar solutions to the MCF in \(\mathbb{R}^3\) ⋮ A uniqueness theorem of complete Lagrangian translator in \(\mathbb C^2\) ⋮ Invariant surfaces in Euclidean space with a log-linear density ⋮ Some geometric properties of translating solitons in Euclidean space ⋮ Compact \(\lambda \)-translating solitons with boundary ⋮ Invariant translators of the Heisenberg group ⋮ The mean curvature flow by parallel hypersurfaces ⋮ Helicoidal minimal surfaces in \(\mathbb{R}^{3}\) ⋮ Existence and asymptotic behavior of helicoidal translating solitons of the mean curvature flow ⋮ Singularities of mean curvature flow ⋮ Translating solitons of the mean curvature flow ⋮ Classification theorems of complete space-like Lagrangian \(\xi\)-surfaces in the pseudo-Euclidean space \(\mathbb{R}^4_2\) ⋮ The translating soliton equation ⋮ Half-space type theorem for translating solitons of the mean curvature flow in Euclidean space ⋮ A Bernstein type result of translating solitons ⋮ Representation formulae for higher order curvature flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex solutions to the mean curvature flow
- Stability of translating solutions to mean curvature flow
- Mean curvature evolution of entire graphs
- The normalized curve shortening flow and homothetic solutions
- Helicoidal surfaces with constant mean curvature
- Helicoidal surfaces with prescribed mean or Gaussian curvature
- Mean curvature flow singularities for mean convex surfaces
- Mean curvature self-shrinkers of high genus: non-compact examples
- Self-similar solutions to the curve shortening flow
- Translating Tridents
- Computation of Self-Similar Solutions for Mean Curvature Flow
- Soliton solutions for the mean curvature flow
This page was built for publication: Helicoidal surfaces rotating/translating under the mean curvature flow
