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-metri...

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Bibliographic Details
Date:2013
Main Authors: Kundu, S., Кунду, С.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2470
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal