The signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional Lie groups. The nonunimodular case
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Publication:3115392
DOI10.3103/S1055134410010013zbMath1249.53066OpenAlexW4249926225WikidataQ115223394 ScholiaQ115223394MaRDI QIDQ3115392
A. G. Kremlev, Yurii Gennadyevich Nikonorov
Publication date: 20 February 2012
Published in: Siberian Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1055134410010013
Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)
Related Items (7)
The signature of the Ricci curvature of left-invariant Riemannian metrics on nilpotent Lie groups ⋮ Milnor-type theorems for left-invariant Riemannian metrics on Lie groups ⋮ On the signature of the Ricci curvature on nilmanifolds ⋮ Negative eigenvalues of the Ricci operator of solvable metric Lie algebras ⋮ Curvature properties of metric nilpotent Lie algebras which are independent of metric ⋮ Flat Nonunimodular Lorentzian Lie Algebras ⋮ On the spectrum of the curvature operator of conformally flat Riemannian manifolds
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