Algebraic Ricci solitons on metric Lie groups with zero Schouten–Weyl tensor


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Abstract

Algebraic Ricci solitons on Lie groups with left-invariant (pseudo)Riemannian metric and zero Schouten–Weyl tensor are studied. The absence of nontrivial algebraic Ricci solitons on metric Lie groups with zero Schouten–Weyl tensor and diagonalizable Ricci operator is proved.

About the authors

P. N. Klepikov

Altai State University

Author for correspondence.
Email: askingnetbarnaul@gmail.com
Russian Federation, pr. Lenina 61, Barnaul, 656049

E. D. Rodionov

Altai State University

Email: askingnetbarnaul@gmail.com
Russian Federation, pr. Lenina 61, Barnaul, 656049

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