The Geometry of Lightlike Hypersurfaces of the de Sitter Space

Authors

Maks A. Akivis, Jerusalem College of Technology
Vladislav V. Goldberg, New Jersey Institute of Technology

Document Type

Article

Publication Date

1-1-1998

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.

Identifier

0000791878 (Scopus)

Publication Title

Acta Applicandae Mathematicae

External Full Text Location

https://doi.org/10.1023/A:1006062604176

ISSN

01678019

First Page

297

Last Page

328

Issue

3

Volume

53

Recommended Citation

Akivis, Maks A. and Goldberg, Vladislav V., "The Geometry of Lightlike Hypersurfaces of the de Sitter Space" (1998). Faculty Publications. 16410.
https://digitalcommons.njit.edu/fac_pubs/16410