We prove that if the metric of a 3-dimensional α-Sasakian manifold is a Ricci soliton, then it is either of constant curvature or of constant scalar curvature. We also establish some properties of the potential vector field U of the Ricci soliton. Finally, we give an example of an α-Sasakian 3-metric as a nontrivial Ricci soliton.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 6, pp. 850–856, June, 2013.
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Kundu, S. α-Sasakian 3-Metric as a Ricci Soliton. Ukr Math J 65, 945–952 (2013). https://doi.org/10.1007/s11253-013-0831-5
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DOI: https://doi.org/10.1007/s11253-013-0831-5