Riemannian submersions whose total manifolds admit a Ricci soliton
2019 ◽
Vol 16
(12)
◽
pp. 1950196
Keyword(s):
In this paper, we study Riemannian submersions whose total manifolds admit a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton. Indeed, we obtain necessary conditions for which the target manifold of Riemannian submersion is a Ricci soliton. Moreover, we study the harmonicity of Riemannian submersion from Ricci soliton and give a characterization for such a submersion to be harmonic.
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2020 ◽
Vol 17
(07)
◽
pp. 2050100
2021 ◽
pp. 2150169
2005 ◽
Vol 72
(3)
◽
pp. 391-402
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2017 ◽
Vol 114
◽
pp. 216-222
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2013 ◽
Vol 2013
◽
pp. 1-7
◽
Keyword(s):
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