Lightlike hypersurfaces of an $(\epsilon)$-para Sasakian manifold

Selcen Yüksel Perktaş; Erol Kılıç; Mukut Mani Tripathi

Lightlike hypersurfaces of an $(\epsilon)$-para Sasakian manifold

Differential Geometry 2014-12-23 v1

Authors: Selcen Yüksel Perktaş , Erol Kılıç , Mukut Mani Tripathi

Abstract

In this paper, we initiate the study of lightlike hypersurfaces of an $(\epsilon)$ -almost paracontact metric manifold which are tangent to the structure vector field. In particular, we give definitions of invariant lightlike hypersurfaces and screen semi-invariant lightlike hypersurfaces, and give some examples. Integrability conditions for the distributions involved in the screen semi-invariant lightlike hypersurface are investigated when the ambient manifold is an $(\epsilon)$ -para Sasakian manifold.

Keywords

lightlike hypersurfaces $(\epsilon)$-para Sasakian manifold screen semi-invariant integrability conditions almost paracontact metric manifold

Cite

@article{arxiv.1412.6902,
  title  = {Lightlike hypersurfaces of an $(\epsilon)$-para Sasakian manifold},
  author = {Selcen Yüksel Perktaş and Erol Kılıç and Mukut Mani Tripathi},
  journal= {arXiv preprint arXiv:1412.6902},
  year   = {2014}
}

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