Recent Progress on Singularities of Lagrangian Mean Curvature Flow

2010/12/09 by André Neves, Neves, André · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.AP #math.DG #math.SG

paper · pdf · doi:10.48550/arxiv.1012.2055

24 pages, 2 figures

arxiv created 2010/12/09 · openalex publication_date 2010/12/09 · arxiv updated 2010/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We survey some of the state of the art regarding singularities in Lagrangian mean curvature flow. Some open problems are suggested at the end.

Citations

• A convergence result of the Lagrangian mean curvature flow

Cited by

• Relative Liouville Rigidity for Lagrangian Self-Similar Submanifolds with Legendrian Boundary
• Spacelike Self-Similar Shrinking Solutions of the Mean Curvature Flow in Pseudo-Euclidean Spaces

Related

• Singularities of the Lagrangian Mean Curvature Flow
• Singularity formations in Lagrangian mean curvature flow
• Singularities of Lagrangian mean curvature flow: monotone case
• Singularities of the Lagrangian mean curvature flow at the critical Lagrangian phase
• Singularities of Equivariant Lagrangian Mean Curvature Flow