The geometry of lightlike hypersurfaces of the de Sitter space

Details The geometry of lightlike hypersurfaces of the de Sitter space The geometry of lightlike hypersurfaces of the de Sitter space

1998-07-02

arxiv.org/abs/math/9807013v1

Acta Appl. Math., 53 (1998) no. 3 297-328

Mathematics

Differential Geometry

LaTeX, 32 pages;, to be published in Acta Appl.Math., 1998

Scientific paper

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.

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