Dept. Math, Hokkaido Univ. EPrints Server

Lightlike surfaces of spacelike curves in de Sitter 3-space

Preprint Series # 784
FUSHO, Takesi and IZUMIYA, Shyuichi Lightlike surfaces of spacelike curves in de Sitter 3-space. (2006);

[img]PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
208Kb

Abstract

The Lorentzian space form with the positive curvature is called de Sitter space which is an important subject in the theory of relativity. In this paper we consider spacelike curves in de Sitter $3$-space. We define the notion of lightlike surfaces of spacelike curves in de Sitter $3$-space. We investigate the geometric meanings of the singularities of such surfaces.

Item Type:Preprint
Additional Information:50
Uncontrolled Keywords:de Sitter space, lightlike surface, spacelike curves, lightcone
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:1529