Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection

• Autores: Erol Yasar, A. Ceylan Çöken, Ahmet Yücesan
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 102, Nº 2, 2008, págs. 253-264
• Idioma: inglés
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• Resumen

  • In this paper, we study lightlike hypersurfaces of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. We give the equations of Gauss and Codazzi. Then, we obtain conditions under which the Ricci tensor of a lightlike hypersurface is symmetric given that the ambient space is equipped with a semi-symmetric non-metric connection.