Homogeneous Ricci solitons on four-dimensional Lie groups with a left-invariant Riemannian metric
Homogeneous Ricci solitons on four-dimensional Lie groups with a left-invariant Riemannian metric are studied. The absence of nontrivial homogeneous invariant Ricci solitons is proved. The algebraic soliton equations are solved in terms of the structure constants of the metric Lie algebra.
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| Veröffentlicht in: | Doklady. Mathematics 2015-11, Vol.92 (3), p.701-703 |
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| container_issue | 3 |
| container_start_page | 701 |
| container_title | Doklady. Mathematics |
| container_volume | 92 |
| creator | Klepikov, P. N. Oskorbin, D. N. Rodionov, E. D. |
| description | Homogeneous Ricci solitons on four-dimensional Lie groups with a left-invariant Riemannian metric are studied. The absence of nontrivial homogeneous invariant Ricci solitons is proved. The algebraic soliton equations are solved in terms of the structure constants of the metric Lie algebra. |
| doi_str_mv | 10.1134/S1064562415060150 |
| format | Article |
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| ispartof | Doklady. Mathematics, 2015-11, Vol.92 (3), p.701-703 |
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| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Mathematics Mathematics and Statistics |
| title | Homogeneous Ricci solitons on four-dimensional Lie groups with a left-invariant Riemannian metric |
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