On the spectrum of the curvature operator of a three-dimensional Lie group with a left-invariant Riemannian metric

DOI10.1134/S1064562413030101zbMath1280.58020OpenAlexW2046954717WikidataQ115247471 ScholiaQ115247471MaRDI QIDQ378188

D. N. Oskorbin, E. D. Rodionov

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.1134/s1064562413030101

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Eigenvalues, singular values, and eigenvectors (15A18) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

On prescribed values of the operator of sectional curvature on three-dimensional locally homogeneous Lorentzian manifolds ⋮ On the spectrum of curvature operators of conformally flat Lie groups with a left-invariant Riemannian metric

Cites Work

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• Geometry of homogeneous Riemannian manifolds
• Curvatures of left invariant metrics on Lie groups
• On Ricci eigenvalues of locally homogeneous Riemann 3-manifolds
• Can One Hear the Shape of a Drum?

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