Notes on Ricci Solitons in f-Cosymplectic Manifolds

Xiaomin Chen

College of Sciences, China University of Petroleum (Beijing) Beijing, 102249, China
E-mail: xmchen@cup.edu.cn

Received November 18, 2015

Abstract

The purpose of the article is to study an f-cosymplectic manifold M admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons
on f-cosymplectic manifolds. One is the class of contact Ricci solitons. The
other is the class of gradient Ricci solitons, for which we give the local classifications of M. We also give some properties of f-cosymplectic manifolds.