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

页码：1897 / 1914

页数：18

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