# Notes on a Class of Paracontact Metric 3-Manifolds

@article{Zamkovoy2020NotesOA,
title={Notes on a Class of Paracontact Metric 3-Manifolds},
author={Simeon Zamkovoy},
journal={arXiv: Differential Geometry},
year={2020}
}
• Simeon Zamkovoy
• Published 17 July 2017
• Mathematics
• arXiv: Differential Geometry
We study a class of 3-dimensional paracontact metric manifolds and we revise some of the results obtain in \cite{SS}.
2 Citations

### A classification of 3-dimensional η-Einstein paracontact metric manifolds

• Mathematics
• 2020
We show that a 3−dimensional η-Einstein paracontact metric manifold is either a manifold with trh2 = 0, flat or of constant ξ−sectional curvature k , −1 and constant φ-sectional curvature −k , 1.

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

• Mathematics
• 2019
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

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