3-dimensional Locally φ−Concircularly symmetric Lorentzian β−Kenmotsu Manifold
Keywords:
Concircularly ϕ−symmetric manifold, concircularly ϕ−recurrent manifold, Einstein manifold, Lorentzian β−Kenmotsu manifolds.
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.
Published
2007-06-30
Section
Reveiw Article
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