Ricci Solitons in α-Sasakian Manifolds
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We study Ricci solitons in α-Sasakian manifolds. It is shown that a symmetric parallel second order-covariant tensor in a α-Sasakian manifold is a constant multiple of the metric tensor. Using this, it is shown that if ℒVg+2S is parallel where V is a given vector field, then (g,V,λ) is Ricci soliton. Further, by virtue of this result, Ricci solitons for n-dimensional α-Sasakian manifolds are obtained. Next, Ricci solitons for 3-dimensional α-Sasakian manifolds are discussed with an example.
2018 ◽
Vol 56
(1)
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pp. 149-163
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2018 ◽
Vol 33
(2)
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pp. 217
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2019 ◽
Vol 16
(09)
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pp. 1950134
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