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. * Supported by funds of the Universitá del Salento and of the M.I.U.R. (within PRIN). 2000 Mathematics Subject Classification: 53D10, 53C50, 53C43, 53C25.
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