3-dimensional Locally φ−Concircularly symmetric Lorentzian β−Kenmotsu Manifold

Abstract

The present work deals with the study of 3-dimensional Locally ϕ− concircularly symmetric Lorentzian β−Kenmotsu manifold which generalizes the notion of locally concirculary-symmetric Lorentzian β−Kenmotsu manifold and obtain some interesting results. Also it is proved that a concircularly ϕ−recurrent Lorentzian β−Kenmotsu manifolds is an Einstein manifold and Proved that if a concircularly ϕ−recurrent Lorentzian β−Kenmotsu manifolds (m^{2n+1}, g), n > 1, has non zero constant sectional curvature, then it reduces to a concircularly locally ϕ−symmetric manifold.