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Lightlike Hypersurfaces of a Semi-Riemannian Product Manifold and Quarter-Symmetric Nonmetric Connections

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  • Erol Kılıç
  • Oğuzhan Bahadır

Abstract

We study lightlike hypersurfaces of a semi-Riemannian product manifold. We introduce a class of lightlike hypersurfaces called screen semi-invariant lightlike hypersurfaces and radical anti-invariant lightlike hypersurfaces. We consider lightlike hypersurfaces with respect to a quarter-symmetric nonmetric connection which is determined by the product structure. We give some equivalent conditions for integrability of distributions with respect to the Levi-Civita connection of semi-Riemannian manifolds and the quarter-symmetric nonmetric connection, and we obtain some results.

Suggested Citation

  • Erol Kılıç & Oğuzhan Bahadır, 2012. "Lightlike Hypersurfaces of a Semi-Riemannian Product Manifold and Quarter-Symmetric Nonmetric Connections," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-17, August.
    • Handle: RePEc:hin:jijmms:178390
    DOI: 10.1155/2012/178390
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