x\perp-submanifolds of para-Sasakian manifolds
Authors : Selcen Yüksel Perktaş, Mukut Mani Tripathi, Erol Kiliç, Sadık Keleş
Pages : 905-919
Doi:10.3906/mat-1307-13
View : 14 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Almost semiinvariant x\perp-submanifolds of an almost paracontact metric manifold are defined and studied. Some characterizations of almost semiinvariant x\perp-submanifolds and semiinvariant x\perp-submanifolds are presented. A para-CR-structure is defined and it is proven that an almost semiinvariant x\perp-submanifold of a normal almost paracontact metric (and hence para-Sasakian) manifold with the proper invariant distribution always possesses a para-\textit{CR}-structure. A counter example is also given. Integrability conditions for certain natural distributions arising on almost semiinvariant x\perp -submanifolds are obtained. Finally, certain parallel operators on submanifolds are investigated.Keywords : Almost paracontact metric manifold, para-Sasakian manifold, xperp-submanifold, almost semiinvariant xperp-submanifolds, para-CR-structure.