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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2017, Volume 13, Number 3, Pages 242–253
DOI: https://doi.org/10.15407/mag13.03.242
(Mi jmag671)
 

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
Full-text PDF (352 kB) Citations (7)
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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.
Funding agency Grant number
Science Foundation of China University of Petroleum, Beijing 2462015YQ0604
Personnel Training and Academic Development Fund 2462015QZDX02
The author is supported by the Science Foundation of China University of Petroleum-Beijing (No.2462015YQ0604) and partially supported by the Personnel Training and Academic Development Fund (2462015QZDX02).
Received: 18.11.2015
Bibliographic databases:
Document Type: Article
MSC: 53C25; 53D10
Language: English
Citation: Xiaomin Chen, “Notes on Ricci solitons in $f$-cosymplectic manifolds”, Zh. Mat. Fiz. Anal. Geom., 13:3 (2017), 242–253
Citation in format AMSBIB
\Bibitem{Che17}
\by Xiaomin~Chen
\paper Notes on Ricci solitons in $f$-cosymplectic manifolds
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2017
\vol 13
\issue 3
\pages 242--253
\mathnet{http://mi.mathnet.ru/jmag671}
\crossref{https://doi.org/10.15407/mag13.03.242}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000410993200002}
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:144
    Full-text PDF :46
    References:17
     
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