Ancient Solutions of Geometric Flows with Curvature Pinching

被引：0
|
作者：
Susanna Risa
Carlo Sinestrari
机构：
[1] Università di Roma “Tor Vergata”,Dipartimento di Matematica
[2] Università di Roma “Tor Vergata”,Dipartimento di Ingegneria Civile e Ingegneria Informatica
来源：
The Journal of Geometric Analysis | 2019年 / 29卷
关键词：
Ancient solutions; Mean curvature flow; Gauss curvature flow; Geometric flows; 53C44; 35K55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove rigidity theorems for ancient solutions of geometric flows of immersed submanifolds. Specifically, we find pinching conditions on the second fundamental form that characterize the shrinking sphere among compact ancient solutions for the mean curvature flow in codimension greater than one, and for some nonlinear curvature flows of hypersurfaces.
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页码：1206 / 1232
页数：26
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