Certain Contact Metrics as Ricci Almost Solitons |
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Authors: | Amalendu Ghosh |
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Institution: | 1. Department of Mathematics, Chandernagore College, Hooghly, 712136, West Bengal, India
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Abstract: | We show that if a compact K-contact metric is a gradient Ricci almost soliton, then it is isometric to a unit sphere S 2n+1. Next, we prove that if the metric of a non-Sasakian (κ, μ)-contact metric is a gradient Ricci almost soliton, then in dimension 3 it is flat and in higher dimensions it is locally isometric to E n+1 × S n (4). Finally, a couple of results on contact metric manifolds whose metric is a Ricci almost soliton and the potential vector field is point wise collinear with the Reeb vector field of the contact metric structure were obtained. |
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