Lagrangian mean curvature flows and moment maps

被引：0
|
作者：
Hiroshi Konno
机构：
[1] Meiji University,Department of Mathematics, School of Science and Technology
来源：
Geometriae Dedicata | 2019年 / 198卷
关键词：
Mean curvature flow; Lagrangian submanifold; Moment map; 53C44; 53D12; 53D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we construct various examples of Lagrangian mean curvature flows in Calabi–Yau manifolds, using moment maps for actions of abelian Lie groups on them. The examples include Lagrangian self-shrinkers and translating solitons in the Euclidean spaces. Moreover, our method can be applied to construct examples of Lagrangian mean curvature flows in non-flat Calabi–Yau manifolds. In particular, we describe Lagrangian mean curvature flows in 4-dimensional Ricci-flat ALE spaces in detail and investigate their singularities.
引用
收藏
页码：103 / 130
页数：27
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