Left-invariant Riemannian metrics on four-dimensional unimodular Lie groups with zero-divergence Weyl tensor

DOI10.1134/S1064562410020377zbMath1202.53052WikidataQ115247485 ScholiaQ115247485MaRDI QIDQ606580

O. P. Gladunova, V. V. Slavskiĭ

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

unimodular Lie groupsstructure constantsleft-invariant Riemannian metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Four-dimensional metric Lie groups with zero Schouten-Weyl tensor ⋮ Left-invariant pseudo-Riemannian metrics on four-dimensional Lie groups with nonzero Schouten-Weyl tensor

Cites Work

• Unnamed Item
• On harmonic tensors on three-dimensional Lie groups with left-invariant Riemannian metric
• Curvatures of left invariant metrics on Lie groups
• Conformal Einstein spaces in \(n\)-dimensions

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