Journal of Singularities
volume 10 (2014), 157-173
Received 4 January 2013. Received in revised form 19 December 2013.
We consider the singularities of lightlike hypersurfaces along spacelike submanifolds with general codimension in de Sitter space. As an application of the theory of Legendrian singularities, we investigate the geometric meanings of the singularities of lightlike hypersurfaces from the viewpoint of the contact of spacelike submanifolds with de Sitter lightcones.
Mathematical Subject Classification:
|Shyuichi Izumiya||Takami Sato|
|Department of Mathematics||Shiseikan elementary school|
|Hokkaido University||Chuoku Minami 3 Nishi 7|
|Sapporo 060-0810,Japan||Sapporo 060-0063, Japan|
|email: firstname.lastname@example.org||email: email@example.com|