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The geometry of lightlike hypersurfaces of the de Sitter space

Maks A. Akivis·Vladislav V. Goldberg
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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.

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Maks A. Akivis, Vladislav V. Goldberg. 1998-07-02. The geometry of lightlike hypersurfaces of the de Sitter space. https://arxiv.org/abs/math/9807013

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