Israel Journal of Mathematics

, Volume 220, Issue 2, pp 531–546 | Cite as

Homogeneous Ricci almost solitons

  • Esteban Calviño-Louzao
  • Manuel Fernández-López
  • Eduardo García-Río
  • Ramón Vázquez-Lorenzo
Article

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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Copyright information

© Hebrew University of Jerusalem 2017

Authors and Affiliations

  • Esteban Calviño-Louzao
    • 1
  • Manuel Fernández-López
    • 2
  • Eduardo García-Río
    • 3
  • Ramón Vázquez-Lorenzo
    • 4
  1. 1.Department of MathematicsIES Ramón CaamañoMuxíaSpain
  2. 2.Department of MathematicsIES María SarmientoViveiroSpain
  3. 3.Faculty of MathematicsUniversity of Santiago de CompostelaSantiago de CompostelaSpain
  4. 4.Department of MathematicsIES de Ribadeo Dionisio GamalloRibadeoSpain

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