Lightcone dual surfaces and hyperbolic dual surfaces of spacelike curves in de Sitter 3-space
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Authors
Haiming Liu
- School of Mathematics, Mudanjiang Normal University, 157011 Mudanjiang, P. R. China.
Donghe Pei
- School of Mathematics and Statistics, Northeast Normal University, 130024 Changchun, P. R. China.
Abstract
In this paper, we consider the spacelike curves in de Sitter space and we investigate the singularities of
lightcone dual surfaces and hyperbolic dual surfaces of these spacelike curves in the framework of the theory
of Legendrian dualities between pseudo-spheres in Minkowski space. We classify the singularities of these
subjects and reveal the relationships between their singularities and geometric invariants of spacelike curves
under the action of the Lorentz group. As application and illustration of the main results, an example is
given.
Share and Cite
ISRP Style
Haiming Liu, Donghe Pei, Lightcone dual surfaces and hyperbolic dual surfaces of spacelike curves in de Sitter 3-space, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2563--2576
AMA Style
Liu Haiming, Pei Donghe, Lightcone dual surfaces and hyperbolic dual surfaces of spacelike curves in de Sitter 3-space. J. Nonlinear Sci. Appl. (2016); 9(5):2563--2576
Chicago/Turabian Style
Liu, Haiming, Pei, Donghe. "Lightcone dual surfaces and hyperbolic dual surfaces of spacelike curves in de Sitter 3-space." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2563--2576
Keywords
- De Sitter space
- Legendrian dualities
- lightcone dual surfaces.
MSC
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