Article ID Journal Published Year Pages File Type
1894626 Journal of Geometry and Physics 2015 12 Pages PDF
Abstract

We completely describe paracontact metric three-manifolds whose Reeb vector field satisfies the Ricci soliton equation. While contact Riemannian (or Lorentzian) Ricci solitons are necessarily trivial, that is, KK-contact and Einstein, the paracontact metric case allows nontrivial examples. Both homogeneous and inhomogeneous nontrivial three-dimensional examples are explicitly described. Finally, we correct the main result in [1], concerning three-dimensional normal paracontact Ricci solitons.

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Physical Sciences and Engineering Mathematics Mathematical Physics
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