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

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Doklady. Mathematics 2017, Vol.95 (1), p.62-64
Hauptverfasser:	Klepikov, P. N., Rodionov, E. D.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Lie groups Mathematics Mathematics and Statistics Solitary waves
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	1064-5624 1531-8362
DOI:	10.1134/S1064562417010197