Selcen Yüksel PERKTAŞ, Mukut Mani TRIPATHI, Erol KILIÇ, Sadık KELEŞ

x\perp-submanifolds of para-Sasakian manifolds

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.

Anahtar Kelimeler:

Almost paracontact metric manifold, para-Sasakian manifold, x\perp-submanifold, almost semiinvariant x\perp-submanifolds, para-CR-structure.

x\perp-submanifolds of para-Sasakian manifolds

Keywords:

Almost paracontact metric manifold, para-Sasakian manifold, x\perp-submanifold, almost semiinvariant x\perp-submanifolds, para-CR-structure.,

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