Pseudoparallel invariant submanifolds of Kenmotsu manifolds

Author:

ATÇEKEN Mehmet1ORCID,KARAMAN Nurnisa

Affiliation:

1. Aksaray Üniversitesi

Abstract

In this paper, we consider pseudoparallel invariant submanifolds, a particular class of invariant submanifolds of Kenmotsu manifolds, on $W_8$ curvature tensor and investigate some of their basic characterizations, such as $W_8$ pseudoparallel, $W_8$-2 pseudoparallel, $W_8$-Ricci generalized pseudoparallel, and $W_8$-2 Ricci generalized pseudoparallel. Moreover, we present some relations between these pseudoparallel invariant submanifolds and semi-parallel invariant submanifolds. We finally discuss the need for further research.

Publisher

Amasya University

Reference13 articles.

1. K. Kenmotsu, A class of contact Riemannian manifolds, Tohoku Mathematical Journal 24 (1) (1972) 93–103.

2. A. Haseeb, Some results on projective curvature tensor in an ε-Kenmotsu manifold, Palestine Journal of Mathematics 6 (Special Issue: II) (2017) 196–203.

3. Y. Wang, X. Liu, Second order parallel tensors on almost Kenmotsu manifolds satisfying the nullity distributions, Filomat 28 (4) (2014) 839–847.

4. Y. Wang, W. Wang, An Einstein-like metric on almost Kenmotsu manifold, Filomat 31 (15) (2017) 4695–4702.

5. C. Özgür, U. C. De, On the quasi-conformal curvature tensor of a Kenmotsu manifold, Mathematica Pannonica 17 (2) (2006) 221–228.

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