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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.

About the authors

I. V. Ernst

Altai State University

Author for correspondence.
Email: igeh@yandex.ru
Russian Federation, pr. Lenina 61a, Barnaul, 656049

D. N. Oskorbin

Altai State University

Email: igeh@yandex.ru
Russian Federation, pr. Lenina 61a, Barnaul, 656049

E. D. Rodionov

Altai State University

Email: igeh@yandex.ru
Russian Federation, pr. Lenina 61a, Barnaul, 656049

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