Pseudoparallel invariant submanifolds of Kenmotsu manifolds

Year 2023, Volume: 4 Issue: 2, 72 - 81, 31.12.2023

Mehmet Atçeken , Nurnisa Karaman

https://doi.org/10.54559/jauist.1312261

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.

Keywords

Kenmotsu manifold, pseudoparallel invariant submanifold, 2-pseudoparallel invariant submanifolds

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