Notes on K-contact manifolds as generalized Ricci solitons

Inspired by a result of Sharma in J Geom 89: 138-147, 2008, we prove that a K -contact generalized gradient soliton, satisfying some conditions, is necessarily Einstein. For the non-gradient case we show that the generalized soliton vector field is a Jacobi vector field along the geodesics of the Reeb vector field provided that the last two vector fields are orthogonal.