Yuksel Perktas, SelcenTripathi, Mukut ManiKilic, ErolKeles, Sadik2024-08-042024-08-0420141300-00981303-6149https://doi.org/10.3906/mat-1307-13https://hdl.handle.net/11616/96486Almost semiinvariant xi(perpendicular to)-submanifolds of an almost paracontact metric manifold are defined and studied. Some characterizations of almost semiinvariant xi(perpendicular to)-submanifolds and semiinvariant xi(perpendicular to)-submanifolds are presented. A para-CR-structure is defined and it is proven that an almost semiinvariant xi(perpendicular to)-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 xi(perpendicular to)-submanifolds are obtained. Finally, certain parallel operators on submanifolds are investigated.eninfo:eu-repo/semantics/openAccessAlmost paracontact metric manifoldpara-Sasakian manifoldxi(perpendicular to)-submanifoldalmost semiinvariant xi(perpendicular to)-submanifoldspara-CR-structureArticle38590591910.3906/mat-1307-132-s2.0-84903166185Q2WOS:000340737800011Q4