Gradient almost Ricci solitons on multiply warped product manifolds
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In this paper, we investigate multiply warped product manifold \[M =B\times_{b_1} F_1\times_{b_2} F_2\times_{b_3} \ldots \times_{b_m} F_m\] as a gradient almost Ricci soliton. Taking $b_i=b$ for $1\leq i \leq m$ lets us to deduce that potential field depends on $B$. With this idea we also get a rigidity result and show that base is a generalized quasi-Einstein manifold if $\nabla b$ is conformal.
2019 ◽
Vol 11
(2)
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pp. 332-349
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2019 ◽
Vol 16
(05)
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pp. 1950073
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2018 ◽
Vol 103
(117)
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pp. 69-75
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2015 ◽
Vol 145
(3)
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pp. 559-569
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2016 ◽
Vol 13
(07)
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pp. 1650099
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2019 ◽
Vol 16
(09)
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pp. 1950134
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