A Classification of 3-dimensional paracontact metric manifolds with $Q\phi =\phi Q$

Abstract

We show that a $3-$dimensional paracontact manifold on which $Q\phi =\phi Q$ is either a manifold with $tr{h}^2=0$, flat or of constant $\xi -$sectional curvature $k\ne -1$ and constant $\phi$-sectional curvature $-k\ne 1$.

arXiv admin note: text overlap with arXiv:1707.05248