Invariant pseudoparallel submanifold of an SQ-Sasakian manifolds-Reference-Cited by-同舟云学术

Invariant pseudoparallel submanifold of an SQ-Sasakian manifolds

Published:2024-05-15 Issue: Volume: Page:
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Atçeken Mehmet¹,Mert Tuğba²,Uygun Pakize¹

Affiliation:

1. Department of Mathematics , Faculty of Art and Science , 175169 University of Aksaray , 68100 , Aksaray , Türkiye

2. Department of Mathematics , Faculty of Science , 52954 University of Sivas Cumhuriyet , 58140 , Sivas , Türkiye

Abstract

Abstract The aim of the present paper is to study invariant pseudoparallel submanifolds in an SQ-Sasakian manifold with respect to semisymmetric metric connection. We search the necessary and sufficient conditions for an invariant submanifold to be totally geodesic under the some hypotheses.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2024-0006/pdf

Reference14 articles.

1. K. Amur and S. S. Pujar, On submanifolds of a Riemannian manifold admitting a metric semisymmetric connection, Tensor (N.S.) 32 (1978), no. 1, 35–38.

2. M. Atçeken, Certain results on invariant submanifolds of an almost Kenmotsu ( κ , μ , ν ) (\kappa,\mu,\nu) -space, Arab. J. Math. (Springer) 10 (2021), no. 3, 543–554.

3. M. Atçeken, Some results on invariant submanifolds of Lorentzian para-Kenmotsu manifolds, Korean J. Math. 30 (2022), 175–185.

4. M. Atçeken and T. Mert, Characterizations for totally geodesic submanifolds of a K-paracontact manifold, AIMS Math. 6 (2021), no. 7, 7320–7332.

5. C. S. Bagewadi, On totally real submanifolds of a Kählerian manifold admitting semisymmetric metric F-connection, Indian J. Pure Appl. Math. 13 (1982), no. 5, 528–536.