Pseudoparallel invariant submanifolds of Kenmotsu manifolds

Authors : Mehmet Atçeken, Nurnisa Karaman

Pages : 72-81

Doi:10.54559/jauist.1312261

View : 110 | Download : 88

Publication Date : 2023-12-31

Article Type : Research Paper

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