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arXiv · 1412.6902

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

Selcen Yüksel Perktaş·Erol Kılıç·Mukut Mani Tripathi
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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.

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Selcen Yüksel Perktaş, Erol Kılıç, Mukut Mani Tripathi. 2014-12-22. Lightlike hypersurfaces of an $(\epsilon)$-para Sasakian manifold. https://arxiv.org/abs/1412.6902

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