Three-dimensional Lorentzian homogeneous Ricci solitons

Springer Science and Business Media LLC - Tập 188 - Trang 385-403 - 2011
M. Brozos-Vázquez1, G. Calvaruso2, E. García-Río3, S. Gavino-Fernández3
1E. U. Politécnica, Department of Mathematics, University of A Coruña, Ferrol, Spain
2Dipartimento di Matematica “E. De Giorgi”, Università del Salento, Lecce, Italy
3Faculty of Mathematics, University of Santiago de Compostela, Santiago de Compostela, Spain

Tóm tắt

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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Springer Science and Business Media LLC

Tập 188

385-403

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