零马斯洛夫类拉格朗日平均曲率流的II型奇异性

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2025-04-29 DOI:10.1016/j.jfa.2025.111032

Xiang Li , Yong Luo , Jun Sun

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引用次数: 0

摘要

在本文中，我们证明了具有零马斯洛夫类或几乎校准的拉格朗日平均曲率流的拉格朗日平均曲率流的II型奇点爆破极限的一些刚性定理，特别是对于任意维的拉格朗日平移孤子。这些定理将以前二维情况下的相应结果推广到任意维情况。

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Type II singularities of Lagrangian mean curvature flow with zero Maslov class

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 arbitrary dimension. These theorems generalized previous corresponding results from two dimensional case to arbitrarily dimensional case.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis