The geometry of lightlike hypersurfaces of the de Sitter space
Differential Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9807013,
title = {The geometry of lightlike hypersurfaces of the de Sitter space},
author = {Maks A. Akivis and Vladislav V. Goldberg},
journal= {arXiv preprint arXiv:math/9807013},
year = {2007}
}
Comments
LaTeX, 32 pages;, to be published in Acta Appl.Math., 1998