Lagrangian \(L\)-stability of Lagrangian translating solitons

DOI10.1007/s00229-018-1089-xzbMath1431.53102arXiv1612.06815OpenAlexW2596362278MaRDI QIDQ2285846

Yanyan Li

Publication date: 9 January 2020

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.06815

zbMATH Keywords

Lagrangian translating solitonLagrangian \(L\)-stable

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Geodesic flows in symplectic geometry and contact geometry (53D25) Flows related to mean curvature (53E10) Flows related to symplectic and contact structures (53E50)

Related Items (2)

The boundary behavior of domains with complete translating, minimal and CMC graphs in \(N^2\times\mathbb{R}\) ⋮ Plateau-Rayleigh instability of singular minimal surfaces

Cites Work

• Generic mean curvature flow. I: Generic singularities
• Mean curvature decay in symplectic and Lagrangian translating solitons
• Singularities of Lagrangian mean curvature flow: zero-Maslov class case
• Hamiltonian L-stability of Lagrangian translating solitons
• Self-similar solutions and translating solitons for Lagrangian mean curvature flow
• Mean curvature flow of surfaces in Einstein four-manifolds.
• Lagrangian F-stability of closed Lagrangian self-shrinkers
• Singularity of mean curvature flow of Lagrangian submanifolds
• Translating solitons to symplectic mean curvature flows
• Translating graphs by mean curvature flow
• A gap theorem for translating solitons to Lagrangian mean curvature flow
• Conformal solitons to the mean curvature flow and minimal submanifolds
• Translating solutions to Lagrangian mean curvature flow
• TRANSLATING SOLITONS TO SYMPLECTIC AND LAGRANGIAN MEAN CURVATURE FLOWS
• TRANSLATING SOLITONS FOR LAGRANGIAN MEAN CURVATURE FLOW IN COMPLEX EUCLIDEAN PLANE

This page was built for publication: Lagrangian \(L\)-stability of Lagrangian translating solitons