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
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
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页码:1897 / 1914
页数:18
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