@article{Rovenski2023, 
author = {Vladimir Rovenski},
title = {Generalized Ricci solitons and Einstein metrics on weak    K-contact manifolds},
year = {2023},
journal = {Communications in Analysis and Mechanics},
volume = {15},
number = {2},
pages = {177-188},
keywords = {weak K-contact manifold, unit Killing vector field, generalized Ricci soliton, Einstein metric, curvature},
url = {https://www.sciopen.com/article/10.3934/cam.2023010},
doi = {10.3934/cam.2023010},
abstract = {We study so-called "weak" metric structures on a smooth manifold, which generalize the metric contact and    K-contact structures and allow a new look at the classical theory. We characterize weak    K-contact manifolds among all weak contact metric manifolds using the property well known for    K-contact manifolds, as well as find when a Riemannian manifold endowed with a unit Killing vector field is a weak    K-contact manifold. We also find sufficient conditions for a weak    K-contact manifold with a parallel Ricci tensor or with a generalized Ricci soliton structure to be an Einstein manifold.}
}