Lobachevskii Journal of Mathematics

, Volume 39, Issue 2, pp 191–194 | Cite as

Ricci Solitons on Lorentzian Walker Manifolds of Low Dimension

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Abstract

The Ricci soliton equation on four-dimensional conformally flat Lorentzian Walker manifolds is investigated, non-trivial solutions are found. New Ricci soliton metrics on three dimensional Lorentzian Walker manifolds are obtained.

Keywords and phrases

Ricci soliton Walker manifold conformally flat metric 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • I. V. Ernst
    • 1
  • D. N. Oskorbin
    • 1
  • E. D. Rodionov
    • 1
  1. 1.Altai State UniversityBarnaulRussia

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