Three-dimensional homogeneous Lorentzian Yamabe solitons |
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| Authors: | E Calvi?o-Louzao J Seoane-Bascoy M E Vázquez-Abal R Vázquez-Lorenzo |
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| Institution: | 1. Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain
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| Abstract: | A geometric characterization of Yamabe solitons on homogeneous Lorentzian manifolds of dimension three is given. As a consequence, Lorentzian Yamabe solitons and left-invariant Lorentzian Yamabe solitons are classified in this setting, showing the existence of Yamabe solitons which are not left-invariant. |
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