Geometry of H-paracontact metric manifolds

2013/07/29 by Calvaruso, Giovanni, Perrone, Domenico
#53C25 #53C43 #53C50 #53D10 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1307.7662

Abstract

We introduce and study H-paracontact metric manifolds, that is, paracontact metric manifolds whose Reeb vector field ξ is harmonic. We prove that they are characterized by the condition that ξ is a Ricci eigenvector. We then investigate how harmonicity of the Reeb vector field ξ of a paracontact metric manifold is related to some other relevant geometric properties, like infinitesimal harmonic transformations and paracontact Ricci solitons.

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