2017
Том 69
№ 5

All Issues

α-Sasakian 3-Metric as a Ricci Soliton

Kundu S.

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Abstract

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.

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