The geometry of lightlike hypersurfaces of the de Sitter space

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It is proved that the geometry of lightlike hypersurfaces of the de Sitter space S^{n+1}_1 is directly connected with the geometry of hypersurfaces of the conformal space C^n. This connection is applied for a construction of an invariant normalization and an invariant affine connection of lightlike hypersurfaces as well as for studying singularities of lightlike hypersurfaces.
LaTeX, 32 pages;, to be published in Acta Appl.Math., 1998

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Differential Geometry, 53B25

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http://salesiana.dossiersoluciones.com/handle/123456789/77115

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807013
 http://arxiv.org/abs/math/9807013
 Acta Appl. Math., 53 (1998) no. 3 297-328

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arXiv