Turkish Journal of Mathematics
Abstract
Almost semiinvariant \xi^{\perp}-submanifolds of an almost paracontact metric manifold are defined and studied. Some characterizations of almost semiinvariant \xi^{\perp}-submanifolds and semiinvariant \xi^{\perp}-submanifolds are presented. A para-CR-structure is defined and it is proven that an almost semiinvariant \xi^{\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 \xi^{\perp} -submanifolds are obtained. Finally, certain parallel operators on submanifolds are investigated.
DOI
10.3906/mat-1307-13
Keywords
Almost paracontact metric manifold, para-Sasakian manifold, \xi^{\perp}-submanifold, almost semiinvariant \xi^{\perp}-submanifolds, para-CR-structure.
First Page
905
Last Page
919
Recommended Citation
PERKTAŞ, SELCEN YÜKSEL; TRIPATHI, MUKUT MANI; KILIÇ, EROL; and KELEŞ, SADIK
(2014)
"\xi^{\perp}-submanifolds of para-Sasakian manifolds,"
Turkish Journal of Mathematics: Vol. 38:
No.
5, Article 11.
https://doi.org/10.3906/mat-1307-13
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss5/11
