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 : 8

Publication Date : 0000-00-00

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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