α-Sasakian 3-Metric as a Ricci Soliton
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.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 945-952.
Citation Example: Kundu S. α-Sasakian 3-Metric as a Ricci Soliton // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 850–856.