TRANSLATING SOLITONS FOR LAGRANGIAN MEAN CURVATURE FLOW IN COMPLEX EUCLIDEAN PLANE
From MaRDI portal
Publication:4902689
DOI10.1142/S0129167X12501017zbMath1262.53054arXiv1007.1886OpenAlexW2051929383MaRDI QIDQ4902689
Ana M. Lerma, Ildefonso Castro
Publication date: 17 January 2013
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.1886
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Lagrangian submanifolds; Maslov index (53D12) Local submanifolds (53B25)
Related Items (5)
TRANSLATING SOLITONS FOR THE MEAN CURVATURE FLOW IN ⋮ A new construction of Lagrangians in the complex Euclidean plane in terms of planar curves ⋮ Lagrangian mean curvature flows and moment maps ⋮ Lagrangian \(L\)-stability of Lagrangian translating solitons ⋮ On the gluing construction of translating solitons to Lagrangian mean curvature flow
Cites Work
- Unnamed Item
- Singularities of Lagrangian mean curvature flow: zero-Maslov class case
- Asymptotic behavior for singularities of the mean curvature flow
- Self-similar solutions and translating solitons for Lagrangian mean curvature flow
- Hamiltonian stationary shrinkers and expanders for Lagrangian mean curvature flows
- Calibrated geometries
- The normalized curve shortening flow and homothetic solutions
- Lagrangian surfaces in the complex Euclidean plane with conformal Maslov form
- Volume minimization of Lagrangian submanifolds under Hamiltonian deformations
- Construction of many Hamiltonian stationary Lagrangian surfaces in Euclidean four-space
- Hamiltonian stationary Lagrangian surfaces in \(\mathbb{C}^2\)
- Mean curvature flow of surfaces in Einstein four-manifolds.
- Minimizing area among Lagrangian surfaces: the mapping problem.
- Singularity of mean curvature flow of Lagrangian submanifolds
- Construction of Lagrangian self-similar solutions to the mean curvature flow in \(\mathbb C^n\)
- Hamiltonian stationary cones and self-similar solutions in higher dimension
- Hamiltonian stationary self-similar solutions for Lagrangian mean curvature flow in the complex Euclidean plane
- TRANSLATING SOLITONS TO SYMPLECTIC AND LAGRANGIAN MEAN CURVATURE FLOWS
- A stable manifold theorem for the curve shortening equation
This page was built for publication: TRANSLATING SOLITONS FOR LAGRANGIAN MEAN CURVATURE FLOW IN COMPLEX EUCLIDEAN PLANE