On Lightlike Geometry of Para-Sasakian Manifolds

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:WileyJournal:The Scientific World Journal, volume 2,014, pages 1-12 (issn: 2356-6140, eissn: 1537-744X,

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Authors: Bilal Eftal Acet; Selcen Yüksel Perktaş; Erol Kılıç;

doi: 10.1155/2014/696231

pmid: 24892072

pmc: PMC4032681

On Lightlike Geometry of Para-Sasakian Manifolds

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Abstract

We study lightlike hypersurfaces of para-Sasakian manifolds tangent to the characteristic vector field. In particular, we define invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, respectively, and give examples. Integrability conditions for the distributions on a screen semi-invariant lightlike hypersurface of para-Sasakian manifolds are investigated. We obtain a para-Sasakian structure on the leaves of an integrable distribution of a screen semi-invariant lightlike hypersurface.

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Technology, T, Science, Q, R, Medicine, Models, Theoretical, Research Article

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