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Homogeneous Ricci almost solitons

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Abstract

It is shown that a locally homogeneous proper Ricci almost soliton is either of constant sectional curvature or locally isometric to a product R×N(c), where N(c) is a space of constant curvature.

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Author information

Authors and Affiliations

  1. Department of Mathematics, IES Ramón Caamaño, Muxía, Spain

    Esteban Calviño-Louzao

  2. Department of Mathematics, IES María Sarmiento, Viveiro, Spain

    Manuel Fernández-López

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

    Eduardo García-Río

  4. Department of Mathematics, IES de Ribadeo Dionisio Gamallo, Ribadeo, Spain

    Ramón Vázquez-Lorenzo

Authors
  1. Esteban Calviño-Louzao
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  2. Manuel Fernández-López
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  3. Eduardo García-Río
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  4. Ramón Vázquez-Lorenzo
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Corresponding author

Correspondence to Eduardo García-Río.

Additional information

Supported by projects GRC2013-045, MTM2013-41335-P and EM2014/009 with FEDER funds (Spain).

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Calviño-Louzao, E., Fernández-López, M., García-Río, E. et al. Homogeneous Ricci almost solitons. Isr. J. Math. 220, 531–546 (2017). https://doi.org/10.1007/s11856-017-1538-3

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  • DOI: https://doi.org/10.1007/s11856-017-1538-3

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