Published January 1, 2021 | Version v1
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Concurrent Vector Fields on Lightlike Hypersurfaces

  • 1. Inonu Univ, Dept Math, TR-44280 Malatya, Turkey
  • 2. Harran Univ, Dept Math, TR-63050 Sanliurfa, Turkey

Description

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.

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