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Ukrainian Mathematical Journal

, Volume 65, Issue 6, pp 945–952 | Cite as

α-Sasakian 3-Metric as a Ricci Soliton

  • S. Kundu
Article
  • 98 Downloads

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.

Keywords

Sectional Curvature Heisenberg Group Constant Curvature Contact Structure Ricci Soliton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • S. Kundu
    • 1
  1. 1.Loreto CollegeKolkataIndia

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