Dept. Math, Hokkaido Univ. EPrints Server

Singularities of Anti de Sitter Torus Gauss maps

Preprint Series # 906
Chen, Liang and Izumiya, Shyuichi Singularities of Anti de Sitter Torus Gauss maps. (2008);

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Abstract

We study timelike surfaces in Anti de Sitter 3-space as an application of singularity theory. We define two mappings associated to a timelike surface which are called a {¥it Anti de Sitter nullcone Gauss image} and a {¥it Anti de Sitter torus Gauss map.} We also define a family of functions named the {¥it Anti de Sitter null height function} of the timelike surface. We use this family of functions as a basic tool to investigate the geometric meanings of singularities of the Anti de Sitter nullcone Gauss image and the Anti de Sitter torus Gauss map.

Item Type:Preprint
Additional Information:40
Uncontrolled Keywords:Anti de Sitter 3-space; timelike surface; AdS-nullcone Gauss image; AdS-torus Gauss map; Legendrian singularities
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:1847