Geodesic
Lightlike hypersurfaces along spacelike submanifolds in de Sitter space
Journal of Singularities, Tome 10 (2014), pp. 157-173

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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.
DOI : 10.5427/jsing.2014.10j
Classification : 53C50, 58K99 
@article{10_5427_jsing_2014_10j,
     author = {Shyuichi Izumiya and Takami Sato},
     title = {Lightlike hypersurfaces along spacelike submanifolds in de {Sitter} space},
     journal = {Journal of Singularities},
     pages = {157--173},
     publisher = {mathdoc},
     volume = {10},
     year = {2014},
     doi = {10.5427/jsing.2014.10j},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.10j/}
}
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Shyuichi Izumiya; Takami Sato. Lightlike hypersurfaces along spacelike submanifolds in de Sitter space. Journal of Singularities, Tome 10 (2014), pp. 157-173. doi: 10.5427/jsing.2014.10j

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