On Lightlike Geometry of Para-Sasakian Manifolds

Abstract EN

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.