We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Lightcone dual surfaces and hyperbolic dual surfaces of spacelike curves in de Sitter 3-space.
- Authors
Haiming Liu; Donghe Pei
- 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.
- Subjects
HYPERBOLIC paraboloid structures; RIEMANNIAN manifolds
- Publication
Journal of Nonlinear Sciences & Applications (JNSA), 2016, Vol 9, Issue 5, p2563
- ISSN
2008-1898
- Publication type
Article
- DOI
10.22436/jnsa.009.05.54