THE GEOMETRY OF LIGHT-LIKE HYPERSURFACES OF THE DESITTER SPACE

Authors
AKIVIS MA GOLDBERG VV
Citation
Ma. Akivis et Vv. Goldberg, THE GEOMETRY OF LIGHT-LIKE HYPERSURFACES OF THE DESITTER SPACE, Acta applicandae mathematicae, 53(3), 1998, pp. 297-328
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Acta applicandae mathematicae → ACNP
ISSN journal
01678019
Volume
53
Issue
3
Year of publication
1998
Pages
297 - 328
Database
ISI
SICI code
0167-8019(1998)53:3<297:TGOLHO>2.0.ZU;2-Z
Abstract
It is proved that the geometry of lightlike hypersurfaces of the de Si tter space S-1(n+1) is directly connected with the geometry of hypersu rfaces of the conformal space C-n. This connection is applied for a co nstruction of an invariant normalization and an invariant affine conne ction of lightlike hypersurfaces as well as for studying singularities of lightlike hypersurfaces.