Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894626 | Journal of Geometry and Physics | 2015 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Giovanni Calvaruso, Antonella Perrone,