Null surfaces of null Cartan curves in Anti-de Sitter 3-space

Volume 10, Issue 4, pp 1512--1523 http://dx.doi.org/10.22436/jnsa.010.04.19

Publication Date: April 20, 2017 Submission Date: January 08, 2017

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Authors

Guangyu Zhao - School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China. Donghe Pei - School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China. Yanlin Li - School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China. Zhigang Wang - School of Mathematical Sciences, Harbin Normal University, Harbin, 150500, China.

Abstract

In this paper, we consider the null surfaces of null Cartan curves in Anti-de Sitter 3-space and making use of singularity theory, we classify the singularities of the null surfaces and investigate the relationships between singularities of the null surfaces and differential geometric invariants of null Cartan curves in Anti-de Sitter 3-space. Finally, we give an example to illustrate our results.

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ISRP Style

Guangyu Zhao, Donghe Pei, Yanlin Li, Zhigang Wang, Null surfaces of null Cartan curves in Anti-de Sitter 3-space, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1512--1523

AMA Style

Zhao Guangyu, Pei Donghe, Li Yanlin, Wang Zhigang, Null surfaces of null Cartan curves in Anti-de Sitter 3-space. J. Nonlinear Sci. Appl. (2017); 10(4):1512--1523

Chicago/Turabian Style

Zhao, Guangyu, Pei, Donghe, Li, Yanlin, Wang, Zhigang. "Null surfaces of null Cartan curves in Anti-de Sitter 3-space." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1512--1523

Keywords

Null Cartan curve
ruled null surface
principal normal indicatrix.

MSC

51B05
53B50
53A04

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