Some Important Properties of Almost Kenmotsu $\left( \kappa,\mu,\nu\right) -$Space on the Concircular Curvature Tensor

Year 2023, Volume: 6 Issue: 1, 51 - 60, 29.03.2023

Tuğba Mert , Mehmet Atçeken

https://doi.org/10.33401/fujma.1191851

Cited By: 1

Abstract

In this article, pseudoparallel submanifolds for almost Kenmotsu $\left( \kappa,\mu,\nu\right) -$space are investigated. The almost Kenmotsu $\left( \kappa,\mu,\nu\right) -$space is considered on the concircular curvature tensor. Submanifolds of these manifolds with properties such as concircular pseudoparallel, concircular $2-$pseudoparallel, concircular Ricci generalized pseudoparallel, and concircular $2-$Ricci generalized pseudoparallel has been characterized. Necessary and sufficient conditions are given for the invariant submanifolds of almost Kenmotsu $\left( \kappa,\mu,\nu\right) -$space to be total geodesic according to the behavior of the $\kappa,\mu,\nu$ functions.

Keywords

Lorentzian manifold, Para-Kenmotsu manifold, Pseudoparallel submanifold

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