j. amasya univ. inst. sci. technol.

Journal of Amasya University the Institute of Sciences and Technology

2717-8900

Amasya University

10.54559/jauist.1312261

Algebraic and Differential Geometry

Cebirsel ve Diferansiyel Geometri

Pseudoparallel invariant submanifolds of Kenmotsu manifolds

https://orcid.org/0000-0002-1242-4359

Atçeken

Mehmet

Aksaray Üniversitesi Karaman

Nurnisa

12 31 2023

4 2 72 81 06 09 2023 11 30 2023

2020

Journal of Amasya University the Institute of Sciences and Technology

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.

Kenmotsu manifold pseudoparallel invariant submanifold 2-pseudoparallel invariant submanifolds

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