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Three-dimensional Lorentzian homogeneous Ricci solitons

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Abstract

We study three-dimensional Lorentzian homogeneous Ricci solitons, proving the existence of shrinking, expanding and steady Ricci solitons. For all the non-trivial examples, the Ricci operator is not diagonalizable and has three equal eigenvalues.

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Authors and Affiliations

  1. E. U. Politécnica, Department of Mathematics, University of A Coruña, Ferrol, Spain

    M. Brozos-Vázquez

  2. Dipartimento di Matematica “E. De Giorgi”, Università del Salento, Lecce, Italy

    G. Calvaruso

  3. Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain

    E. García-Río & S. Gavino-Fernández

Authors
  1. M. Brozos-Vázquez
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  2. G. Calvaruso
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  3. E. García-Río
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  4. S. Gavino-Fernández
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Correspondence to M. Brozos-Vázquez.

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Brozos-Vázquez, M., Calvaruso, G., García-Río, E. et al. Three-dimensional Lorentzian homogeneous Ricci solitons. Isr. J. Math. 188, 385–403 (2012). https://doi.org/10.1007/s11856-011-0124-3

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  • DOI: https://doi.org/10.1007/s11856-011-0124-3

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