|
This article is cited in 7 scientific papers (total in 7 papers)
Notes on Ricci solitons in $f$-cosymplectic manifolds
Xiaomin Chen College of Sciences, China University of Petroleum (Beijing),
Beijing, 102249, China
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.
Key words and phrases:
contact Ricci soliton, gradient Ricci soliton, $f$-cosymplectic manifold, cosymplectic manifold, Einstein manifold.
Received: 18.11.2015
Citation:
Xiaomin Chen, “Notes on Ricci solitons in $f$-cosymplectic manifolds”, Zh. Mat. Fiz. Anal. Geom., 13:3 (2017), 242–253
Linking options:
https://www.mathnet.ru/eng/jmag671 https://www.mathnet.ru/eng/jmag/v13/i3/p242
|
Statistics & downloads: |
Abstract page: | 144 | Full-text PDF : | 46 | References: | 17 |
|