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