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

Erol Kılıç | Zendy; Oğuzhan Bahadır | Zendy

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

Author(s) -

Erol Kılıç,

Oğuzhan Bahadır

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/178390

Subject(s) - mathematics , connection (principal bundle) , pure mathematics , invariant (physics) , quarter (canadian coin) , product (mathematics) , riemannian manifold , manifold (fluid mechanics) , mathematical analysis , geometry , mathematical physics , mechanical engineering , archaeology , engineering , history

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

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