The Ricci operator of completely solvable metric lie algebras

DOI10.3103/S1055134414010039zbMath1340.53083OpenAlexW1964895334WikidataQ125741045 ScholiaQ125741045MaRDI QIDQ2945799

M. S. Chebarykov, Yurii Gennadyevich Nikonorov

Publication date: 14 September 2015

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134414010039

zbMATH Keywords

Lie algebraLie groupRicci curvatureleft-invariant Riemannian metriccompletely solvable Lie algebranonhomogeneous Riemannian manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Solvable, nilpotent (super)algebras (17B30)

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On the signature of the Ricci curvature on nilmanifolds ⋮ Negative eigenvalues of the Ricci operator of solvable metric Lie algebras

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