Geodesic
Some applications of η−Ricci solitons to contact Riemannian submersions
Filomat, Tome 36 (2022) no. 6, p. 1895

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DOI

The aim of this paper is to study a contact Riemannian submersion π : M → B between almost contact metric manifolds such that its total space M admits an η−Ricci soliton. Here, we obtain some necessary conditions for which any fiber of π and the manifold B are η−Ricci soliton, Ricci soliton, generalized quasi-Einstein, quasi-Einstein, η−Einstein or Einstein. Finally, we study the total space M of π equipped with a torqued vector field and give some characterizations for any fiber and the manifold B of such a submersion π.
DOI : 10.2298/FIL2206895K
Classification : 53C25, 53D10
Keywords: Ricci soliton, η−Ricci soliton, contact Riemannian submersion, torqued vector field 
Erol Kılıç; Şemsi Eken Meriç. Some applications of η−Ricci solitons to contact Riemannian submersions. Filomat, Tome 36 (2022) no. 6, p. 1895 . doi: 10.2298/FIL2206895K
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     author = {Erol K{\i}l{\i}\c{c} and \c{S}emsi Eken Meri\c{c}},
     title = {Some applications of {\ensuremath{\eta}\ensuremath{-}Ricci} solitons to contact {Riemannian} submersions},
     journal = {Filomat},
     pages = {1895 },
     year = {2022},
     volume = {36},
     number = {6},
     doi = {10.2298/FIL2206895K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206895K/}
}
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