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Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold

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Abstract

We introduce lightlike hypersurfaces of a golden semi-Riemannian manifold. We investigate several properties of lightlike hypersurfaces of a golden semi-Riemannian manifold. We prove that there is no radical anti-invariant lightlike hypersurface of a golden semi-Riemannian manifold. In particular, we obtain some results for screen semi-invariant lightlike hypersurfaces of a golden semi-Riemannian manifold. Moreover, we study screen conformal screen semi-invariant lightlike hypersurfaces.

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Authors and Affiliations

  1. Department of Mathematics, Cukurova University, Adana, Turkey

    Nergiz Önen Poyraz

  2. Departmet of Mathematics, Mersin University, 33343, Mersin, Turkey

    Erol Yaşar

Authors
  1. Nergiz Önen Poyraz
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  2. Erol Yaşar
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Correspondence to Erol Yaşar.

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Poyraz, N.Ö., Yaşar, E. Lightlike Hypersurfaces of a Golden Semi-Riemannian Manifold. Mediterr. J. Math. 14, 204 (2017). https://doi.org/10.1007/s00009-017-0999-2

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  • DOI: https://doi.org/10.1007/s00009-017-0999-2

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