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

Authors : Tuğba Mert, Mehmet Atçeken

Pages : 51-60

Doi:10.33401/fujma.1191851

View : 19 | Download : 11

Publication Date : 2023-03-29

Article Type : Research

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