We consider a semisymmetric metric connection in an almost Kenmotsu manifold with its characteris... more We consider a semisymmetric metric connection in an almost Kenmotsu manifold with its characteristic vector field ξ belonging to the (k, μ)′-nullity distribution and (k, μ)-nullity distribution respectively. We first obtain the expressions of the curvature tensor and Ricci tensor with respect to the semisymmetric metric connection in an almost Kenmotsu manifold with ξ belonging to (k, μ)′and (k, μ)-nullity distribution respectively. Then we characterize an almost Kenmotsu manifold with ξ belonging to (k, μ)′-nullity distribution admitting a semisymmetric metric connection.
We consider para-Sasakian manifolds satisfying the curvature conditions $P\cdot R=0$, $P\cdot Q=0... more We consider para-Sasakian manifolds satisfying the curvature conditions $P\cdot R=0$, $P\cdot Q=0$ and $Q\cdot P=0$, where $R$ is the Riemannian curvature tensor, $P$ is the projective curvature tensor and $Q$ is the Ricci operator.
We consider a semisymmetric metric connection in an almost Kenmotsu manifold with its characteris... more We consider a semisymmetric metric connection in an almost Kenmotsu manifold with its characteristic vector field ξ belonging to the (k, μ)′-nullity distribution and (k, μ)-nullity distribution respectively. We first obtain the expressions of the curvature tensor and Ricci tensor with respect to the semisymmetric metric connection in an almost Kenmotsu manifold with ξ belonging to (k, μ)′and (k, μ)-nullity distribution respectively. Then we characterize an almost Kenmotsu manifold with ξ belonging to (k, μ)′-nullity distribution admitting a semisymmetric metric connection.
We consider para-Sasakian manifolds satisfying the curvature conditions $P\cdot R=0$, $P\cdot Q=0... more We consider para-Sasakian manifolds satisfying the curvature conditions $P\cdot R=0$, $P\cdot Q=0$ and $Q\cdot P=0$, where $R$ is the Riemannian curvature tensor, $P$ is the projective curvature tensor and $Q$ is the Ricci operator.
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Papers by Gopal Ghosh