A Classification of 3-dimensional paracontact metric manifolds with $Q\varphi=\varphi Q$
Abstract
We show that a $3-$dimensional paracontact manifold on which $Q\varphi =\varphi Q$
is either a manifold with $trh^2=0$, flat or of constant $\xi-$sectional curvature $k\neq-1$ and constant $\varphi$-sectional
curvature $-k\neq 1$.
is either a manifold with $trh^2=0$, flat or of constant $\xi-$sectional curvature $k\neq-1$ and constant $\varphi$-sectional
curvature $-k\neq 1$.
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