ON THE COMPLETE 2-DIMENSIONAL λ-TRANSLATORS WITH A SECOND FUNDAMENTAL FORM OF CONSTANT LENGTH

被引：6
|
作者：
Li, Xingxiao [1 ]
Qiao, Ruina [1 ]
Liu, Yangyang [1 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2020年 / 40卷 / 06期
关键词：
singular solution; mean curvature flow; second fundamental form; lambda-translator; classification; MEAN-CURVATURE FLOW; SELF-SHRINKERS; SURFACES; SINGULARITIES; RIGIDITY; SOLITONS;
D O I：
10.1007/s10473-020-0618-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we study the two-dimensional complete lambda-translators immersed in the Euclidean space R-3 and Minkovski space R-1(3). We obtain two classification theorems: one for two-dimensional complete lambda-translatorsx: M-2 -> R-3 and one for two-dimensional complete space-like lambda-translatorsx: M-2 -> R-1(3), with a second fundamental form of constant length.
引用
收藏
页码：1897 / 1914
页数：18
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