Geometry of $H$-paracontact metric manifolds
Differential Geometry
2013-07-30 v1
Abstract
We introduce and study -paracontact metric manifolds, that is, paracontact metric manifolds whose Reeb vector field is harmonic. We prove that they are characterized by the condition that is a Ricci eigenvector. We then investigate how harmonicity of the Reeb vector field of a paracontact metric manifold is related to some other relevant geometric properties, like infinitesimal harmonic transformations and paracontact Ricci solitons.
Keywords
Cite
@article{arxiv.1307.7662,
title = {Geometry of $H$-paracontact metric manifolds},
author = {Giovanni Calvaruso and Domenico Perrone},
journal= {arXiv preprint arXiv:1307.7662},
year = {2013}
}