Caustics of de Sitter spacelike curves in Minkowski 3-space
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Authors
Jiajing Miao
- School of Mathematics, Mudanjiang Normal University, 157011 Mudanjiang, P. R. China.
Haiming Liu
- School of Mathematics, Mudanjiang Normal University, 157011 Mudanjiang, P. R. China.
Abstract
In this paper, we consider evolutes of spacelike curves in de Sitter 2-space. Applying the theory of
singularity theory, we find that these evolutes can be seen as one dimensional caustics which are locally
diffeomorphic to lines or ordinary cusps. We establish the relationships between singularities of caustics and
geometric invariants of curves under the action of the Lorentz group.
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ISRP Style
Jiajing Miao, Haiming Liu, Caustics of de Sitter spacelike curves in Minkowski 3-space, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4286--4294
AMA Style
Miao Jiajing, Liu Haiming, Caustics of de Sitter spacelike curves in Minkowski 3-space. J. Nonlinear Sci. Appl. (2016); 9(6):4286--4294
Chicago/Turabian Style
Miao, Jiajing, Liu, Haiming. "Caustics of de Sitter spacelike curves in Minkowski 3-space." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4286--4294
Keywords
- De Sitter 2-space
- caustics
- singularity theory.
MSC
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