Concurrent Vector Fields on Lightlike Hypersurfaces

Erol Kılıç, Mehmet Gülbahar and Ecem Kavuk
Additional contact information
Erol Kılıç: Department of Mathematics, İnönü University, 44280 Malatya, Turkey
Mehmet Gülbahar: Department of Mathematics, Harran University, 63050 Şanlıurfa, Turkey
Ecem Kavuk: Department of Mathematics, İnönü University, 44280 Malatya, Turkey

Mathematics, 2020, vol. 9, issue 1, 1-16

Abstract: 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.

Keywords: concurrent vector field; lightlike hypersurface; Lorentzian manifold; Ricci soliton (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/1/59/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/1/59/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2020:i:1:p:59-:d:470199

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().