Algebraic Ricci Solitons on Metric Lie Groups with Zero Schouten–Weyl Tensor

P. N. Klepikov* and E. D. Rodionov**
Translated by O. Sipacheva

Altai State University, pr. Lenina 61, Barnaul, 656049 Russia

Correspondence to: *e-mail: askingnetbarnaul@gmail.com
Correspondence to: **e-mail: edr2002@mail.ru

Received 13 July, 2016

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.

DOI: 10.1134/S1064562417010197