title: On lightlike geometry of para-Sasakian manifolds.
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.
authors.affiliation: Faculty of Arts and Sciences, Department of Mathematics, Adıyaman University, 02040 Adıyaman, Turkey.
authors.forename: Bilal Eftal
authors.initials: BE
authors.lastname: Acet
authors.affiliation: Faculty of Arts and Sciences, Department of Mathematics, Adıyaman University, 02040 Adıyaman, Turkey.
authors.forename: Selcen
authors.identifier: 0000-0002-8848-0621
authors.initials: S
authors.lastname: Yüksel Perktaş
authors.affiliation: Faculty of Arts and Sciences, Department of Mathematics, İnönü University, 44280 Malatya, Turkey.
authors.forename: Erol
authors.initials: E
authors.lastname: Kılıç
mesh_terms: D008962:Models, Theoretical