Lagrangian self-similar solutions in gradient shrinking Kähler–Ricci solitons

被引：1

作者：

Yamamoto H. ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Science, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo

来源：

Journal of Geometry | 2017年 / 108卷 / 1期

基金：

日本学术振兴会;

关键词：

gradient soliton; Mean curvature flow; Ricci flow; self-similar solution;

D O I：

10.1007/s00022-016-0336-0

中图分类号：

学科分类号：

摘要：

In this paper, we give a lower bound estimate for the diameter of a Lagrangian self-shrinker in a gradient shrinking Kähler–Ricci soliton as an analog of a result of Futaki et al. (Ann Global Anal Geom 44(2):105–114, 2013) for a self-shrinker in a Euclidean space. We also prove an analog of a result of Cao and Li (Calc Var Partial Differ Equ 46(3–4):879–889, 2013) about the non-existence of compact self-expanders in a Euclidean space. © 2016, Springer International Publishing.

引用

页码：247 / 254

页数：7

共 8 条

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