Complete Space-like λ-surfaces in the Minkowski Space R1~3 with the Second Fundamental Form of Constant Length

被引：0

作者：

Xing Xiao LI ^{[1
]}

Yang Yang LIU ^{[1
]}

Rui Na QIAO ^{[1
]}

机构：

[1] School of Mathematics and Information Sciences, Henan Normal University

来源：

Acta Mathematica Sinica,English Series | 2020年 / 05期

关键词：

Mean curvature; second fundamental form; space-like; λ-surfaces; classification;

D O I：

暂无

中图分类号：

O186.11 [古典微分几何];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the complete space-like λ-surfaces in the three dimensional Minkowski space R~3. As the result, we obtain a complete classification theorem for all the complete space-like λ-surfaces x : M~2→ R~3 with the second fundamental form of constant length. This is a natural extension to the λ-surfaces in R~3 of a recent interesting classification theorem by Cheng and Wei for λ-surfaces in the Euclidean space R~3.

引用

页码：559 / 577

页数：19

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