The geometry of lightlike hypersurfaces of the de Sitter space

1998/07/02 by Maks A. Akivis, Vladislav V. Goldberg
Mathematics · #math.DG #msc:53B25

paper · pdf

published as Acta Appl. Math., 53 (1998) no. 3 297-328 · LaTeX, 32 pages;, to be published in Acta Appl.Math., 1998

arxiv created 1998/07/02 · arxiv updated 2009/11/30

Abstract

It is proved that the geometry of lightlike hypersurfaces of the de Sitter space Sⁿ⁺¹₁ is directly connected with the geometry of hypersurfaces of the conformal space Cⁿ. 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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