English

Type II Singularities of Lagrangian Mean Curvature Flow with Zero Maslov Class

Differential Geometry 2025-04-25 v2

Abstract

In this paper, we will prove some rigidity theorems for blow up limits to Type II singularities of Lagrangian mean curvature flow with zero Maslov class or almost calibrated Lagrangian mean curvature flows, especially for Lagrangian translating solitons in any dimension. These theorems generalized previous corresponding results from two dimensional case to arbitrarily dimensional case.

Keywords

Cite

@article{arxiv.2412.15880,
  title  = {Type II Singularities of Lagrangian Mean Curvature Flow with Zero Maslov Class},
  author = {Xiang Li and Yong Luo and Jun Sun},
  journal= {arXiv preprint arXiv:2412.15880},
  year   = {2025}
}

Comments

Revised version, 16 pages. Accepted by JFA