Invariant Submanifolds of (?)-Sasakian Manifolds

Title

Invariant Submanifolds of (?)-Sasakian Manifolds

Creator

Prakasha D.G.; Vanli A.T.; Nagaraja M.; Veeresha P.

Description

In this paper, we consider invariant submanifolds of an (?)-Sasakian manifolds. We show that if the second fundamental form of an invariant submanifold of a (?)-Sasakian manifold is recurrent then the submanifold is totally geodesic. We also prove that, invariant submanifolds of an Einstein (?)-Sasakian manifolds satisfying the conditions (Formula presented) (X, Y) ? = 0 and (Formula presented)(X, Y) (Formula presented)? = 0 with ?r ? n(n 1) are also totally geodesic. 2020. All Rights Reserved.

Source

Annals of the University of Craiova, Mathematics and Computer Science Series, Vol-47, No. 2, pp. 346-356.

Date

2020-01-01

Publisher

Universitatea din Craiova

Subject

(?)-Sasakian manifold; Einstein manifold; Invariant submanifold; Recurrent submanifold

Coverage

Prakasha D.G., Department of Mathematics, Davangere University, Davangere, 577007, India; Vanli A.T., Department of Mathematics, Tunga Mahavidhyalaya, Thirthahalli, 577432, India; Nagaraja M., Department of Mathematics, Christ University, Bengaluru, 560029, India; Veeresha P., Department of Mathematics, Christ University, Bengaluru, 560029, India

Rights

Restricted Access

Relation

ISSN: 12236934

Format

Online

Language

English

Type

Article

Identifier

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85102835218&partnerID=40&md5=8afa19ad7aeaaf12140f07627d89b3c0