Uniqueness of self-similar solutions to flows by quotient curvatures

被引：2
|
作者：
Chen, Li [1 ]
Gao, Shanze [2 ]
机构：
[1] Hubei Univ, Fac Math & Stat, Wuhan 430062, Peoples R China
[2] Shaanxi Normal Univ, Sch Math & Stat, Xian 710119, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 10期
关键词：
quotient of curvatures; self-similar solution; uniqueness; HYPERSURFACES; MOTION;
D O I：
10.1002/mana.202000397
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a family of closed hypersurfaces which shrink self-similarly with speed of quotient curvatures. We show that the only such hypersurfaces are shrinking spheres.
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页码：1850 / 1858
页数：9
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