On the Geometry of Lightlike Hypersurfaces
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of the Witwatersrand, Johannesburg
Abstract
The study of lightlike geometry in semi-Riemannian manifolds was introduced by A. Bejancu and K. L. Duggal in their book [3]. The book laid a foundation for the study of lightlike submanifolds by providing some constructions on such subspaces. In this research, we focus on the study of lightlike hypersurfaces of semi-Riemannian manifolds, i.e. submanifolds of codimension one. In this line, we prove necessary and sufficient conditions for a lightlike hypersurface of a semi-Riemannian space form to be totally umbilical, screen conformal and screen almost conformal (see Theorem 2.5.2, 2.5.4 and 2.5.5)
Description
A dissertation submitted in fulfillment of a Masters degree at the University of the Witwatersrand, Johannesburg-South Africa, Johannesburg 2022
Keywords
Semi-Riemannian, Lightlike hypersurfaces, UCTD
Citation
Khoza, Jabulile. (2022). On the Geometry of Lightlike Hypersurfaces [Master’s dissertation, University of the Witwatersrand, Johannesburg]. WireDSpace.https://hdl.handle.net/10539/41922