The geometry of lightlike hypersurfaces of the de Sitter space
Maks A. Akivis, Vladislav V. Goldberg
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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