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Three-dimensional homogeneous Lorentzian Yamabe solitons

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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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Acknowledgement

We would like to thank the Referee for his comments which resulted in an improved version of our original manuscript.

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Authors and Affiliations

  1. Department of Geometry and Topology, Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain

    E. Calviño-Louzao, J. Seoane-Bascoy, M. E. Vázquez-Abal & R. Vázquez-Lorenzo

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  1. E. Calviño-Louzao
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  2. J. Seoane-Bascoy
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  3. M. E. Vázquez-Abal
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  4. R. Vázquez-Lorenzo
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Corresponding author

Correspondence to R. Vázquez-Lorenzo.

Additional information

Communicated by V. Cortés.

Supported by projects MTM2009-07756 and INCITE09 207 151 PR (Spain).

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Calviño-Louzao, E., Seoane-Bascoy, J., Vázquez-Abal, M.E. et al. Three-dimensional homogeneous Lorentzian Yamabe solitons. Abh. Math. Semin. Univ. Hambg. 82, 193–203 (2012). https://doi.org/10.1007/s12188-012-0072-9

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  • DOI: https://doi.org/10.1007/s12188-012-0072-9

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