Concurrent Vector Fields on Lightlike Hypersurfaces

Concurrent Vector Fields on Lightlike Hypersurfaces

Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike hypersurfaces. Furthermore, Ricci soliton lightlike h...

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Bibliographic Details
Main Authors: Erol Kılıç, Mehmet Gülbahar, Ecem Kavuk
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
concurrent vector field
lightlike hypersurface
Lorentzian manifold
Ricci soliton
Online Access:https://www.mdpi.com/2227-7390/9/1/59
Description
Summary:Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike hypersurfaces. Furthermore, Ricci soliton lightlike hypersurfaces admitting concurrent vector fields are studied and some characterizations for this frame of hypersurfaces are obtained.
ISSN:2227-7390

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