Yuksel, Selcen PerktasTrıpathı, Mukut ManiKılıç, ErolKeleş, Sadık2020-12-082020-12-082014PERKTAŞ S. Y,TRIPATHI M. M,KILIÇ E,KELEŞ S (2014). ξ ⊥ -submanifolds of para-Sasakian manifolds. Turkish Journal of Mathematics, 38(5), 905 - 919.1300-00981303-6149https://hdl.handle.net/11616/19043https://search.trdizin.gov.tr/yayin/detay/186989Abstract: Almost semiinvariant ξ ⊥ -submanifolds of an almost paracontact metric manifold are defined and studied. Some characterizations of almost semiinvariant ξ ⊥ -submanifolds and semiinvariant ξ ⊥ -submanifolds are presented. A para-CR-structure is defined and it is proven that an almost semiinvariant ξ ⊥ -submanifold of a normal almost paracontact metric (and hence para-Sasakian) manifold with the proper invariant distribution always possesses a para-CR-structure. A counter example is also given. Integrability conditions for certain natural distributions arising on almost semiinvariant ξ ⊥ -submanifolds are obtained. Finally, certain parallel operators on submanifolds are investigated.trinfo:eu-repo/semantics/openAccessArticle385905919186989