Dept. Math, Hokkaido Univ. EPrints Server

Timelike hypersurfaces in de Sitter space and Legendrian singularities

Preprint Series # 697
Izumiya, Shyuichi Timelike hypersurfaces in de Sitter space and Legendrian singularities. (2005);

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Abstract

We construct a basic framework for the study of extrinsic differential geometry on timelike hypersurfaces from the view point of the theory of Legendrian singularities. As an application, we study the contact of timelike hypersurfaces with flat totally umbilic timelike hypersurfaces in de Sitter space.

Item Type:Preprint
Additional Information:30
Uncontrolled Keywords:Legendrian duality, timelike hypersurfaces, de Sitter space
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:868