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《Mathematics in Practice and Theory》 2018-18
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Singularities of Null Hypersurfaces in Anti de Sitter 4-space

LIU Hai-ming;MIAO Jia-jing;School of Mathematics, Mudanjiang Normal University;  
We introduce the local theory of spacelike hypersurfaces in Anti de sitter four space and define null hypersurface map of spacelike hypersurface and height function. We also prove the height function to be Morse family by a new method and give a local singularities classification of null hypersurfaces in Anti de Sitter 4-space and tangent nullcone indicatrices by Legendrian singularity theory.
【Fund】: 牡丹江师范学院国家级课题培育项目(GP2018004);; 牡丹江市科技攻关项目(Z2016s0029)
【CateGory Index】: O186
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