| Complete Space-like λ-surfaces in the Minkowski Space R1^3 with the Second Fundamental Form of Constant Length |
| |
| 引用本文： | Xing Xiao LI,Yang Yang LIU,Rui Na QIAO. Complete Space-like λ-surfaces in the Minkowski Space R1^3 with the Second Fundamental Form of Constant Length[J]. 数学学报(英文版), 2020, 36(5): 559-577. DOI: 10.1007/s10114-020-9078-x |
| |
| 作者姓名： | Xing Xiao LI Yang Yang LIU Rui Na QIAO |
| |
| 作者单位： | School of Mathematics and Information Sciences |
| |
| 基金项目： | Supported by Natural Science Foundation of China (Grant Nos. 11671121, 11871197 and 11971153) |
| |
| 摘 要： | In this paper we study the complete space-like λ-surfaces in the three dimensional Minkowski space R1^3.As the result,we obtain a complete classification theorem for all the complete space-like λ-surfaces x:M^2→R1^3 with the second fundamental form of constant length.This is a natural extension to the λ-surfaces in R1^3 of a recent interesting classification theorem by Cheng and Wei forλ-surfaces in the Euclidean space R^3.
|
| 关 键 词： | Mean CURVATURE second FUNDAMENTAL form space-likeλ-surfaces classification |
Complete Space-like λ-surfaces in the Minkowski Space $$ℝ_1^3$$ℝ13 with the Second Fundamental Form of Constant Length |
| |
| Xing Xiao Li,Yang Yang Liu,Rui Na Qiao. Complete Space-like λ-surfaces in the Minkowski Space $$ℝ_1^3$$ℝ13 with the Second Fundamental Form of Constant Length[J]. Acta Mathematica Sinica(English Series), 2020, 36(5): 559-577. DOI: 10.1007/s10114-020-9078-x |
| |
| Authors: | Xing Xiao Li Yang Yang Liu Rui Na Qiao |
| |
| Affiliation: | School of Mathematics and Information Sciences, Henan Normal University Xinxiang 453007, P. R. China |
| |
| Abstract: | In this paper we study the complete space-like λ-surfaces in the three dimensional Minkowski space $$ℝ_1^3$$. As the result, we obtain a complet |
| |
| Keywords: | Mean curvature second fundamental form space-like λ-surfaces classification |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学学报(英文版)》下载免费的PDF全文 |
