Lightlike hypersurfaces in spaces with concircular fields-Reference-Cited by-同舟云学术

Lightlike hypersurfaces in spaces with concircular fields

Published:2021-08-07 Issue:3 Volume:10 Page:699-710
ISSN:2193-5343
Container-title:Arabian Journal of Mathematics
language:en
Short-container-title:Arab. J. Math.

Author:

Ssekajja Samuel^ORCID

Abstract

AbstractLightlike hypersurfaces in semi-Riemannian manifolds admitting concircular vector fields are investigated. We prove that such hypersurfaces are generally products of lightlike curves and warped product manifolds. In special cases, we show that these hypersurfaces are totally geodesic or totally screen geodesic provided such concircular fields belong to their normal or transversal bundles. A number of examples are furnished, where possible, to illustrate the main concepts.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40065-021-00334-0.pdf

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