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Concurrent Vector Fields on Lightlike Hypersurfaces

Author

Listed:
  • Erol Kılıç

    (Department of Mathematics, İnönü University, 44280 Malatya, Turkey
    These authors contributed equally to this work.)

  • Mehmet Gülbahar

    (Department of Mathematics, Harran University, 63050 Şanlıurfa, Turkey
    These authors contributed equally to this work.)

  • Ecem Kavuk

    (Department of Mathematics, İnönü University, 44280 Malatya, Turkey
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Erol Kılıç & Mehmet Gülbahar & Ecem Kavuk, 2020. "Concurrent Vector Fields on Lightlike Hypersurfaces," Mathematics, MDPI, vol. 9(1), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2020:i:1:p:59-:d:470199
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    References listed on IDEAS

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    1. C. Atindogbe & J.-P. Ezin & Joël Tossa, 2003. "Pseudoinversion of degenerate metrics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-23, January.
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    Cited by:

    1. Yanlin Li & Sujit Bhattacharyya & Shahroud Azami & Apurba Saha & Shyamal Kumar Hui, 2023. "Harnack Estimation for Nonlinear, Weighted, Heat-Type Equation along Geometric Flow and Applications," Mathematics, MDPI, vol. 11(11), pages 1-14, May.
    2. Yanlin Li & Mahmut Mak, 2023. "Framed Natural Mates of Framed Curves in Euclidean 3-Space," Mathematics, MDPI, vol. 11(16), pages 1-14, August.

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