Notes on Ricci Solitons in f-Cosymplectic Manifolds

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...

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Published in:Журнал математической физики, анализа, геометрии
Date:2017
Main Author: Chen, X.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/140573
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Notes on Ricci Solitons in f-Cosymplectic Manifolds / X. Chen // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 3. — С. 242-253. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:1812-9471