α-Sasakian 3-Metric as a Ricci Soliton

• Datum: 2013
• Hauptverfasser: Kundu, S., Кунду, С.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2470
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...