We introduce and study H-paracontact metric manifolds, that is, paracontact metric manifolds whose Reeb vector feld \xi is harmonic. We prove that they are characterized by the condition that \xi is a Ricci eigenvector. We then investigate how harmonicity of the Reeb vector field \xi of a paracontact metric manifold is related to some other relevant geometric properties, like infinitesimal harmonic transformations and paracontact Ricci solitons.
Geometry of H-paracontact metric manifolds
CALVARUSO, Giovanni;PERRONE, Domenico
2015-01-01
Abstract
We introduce and study H-paracontact metric manifolds, that is, paracontact metric manifolds whose Reeb vector feld \xi is harmonic. We prove that they are characterized by the condition that \xi is a Ricci eigenvector. We then investigate how harmonicity of the Reeb vector field \xi of a paracontact metric manifold is related to some other relevant geometric properties, like infinitesimal harmonic transformations and paracontact Ricci solitons.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.