Abstract
We find the necessary and sufficient conditions for three constants ϱ1, ϱ2, ϱ3 ∈ ℝ3 to be the principal Ricci curvatures of some 3-dimensional locally homogeneous Riemannian space.
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The first author was supported by the grant GAČR 201/93/0469; the second author was supported by the grant SFS, Project #0401.
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Kowalski, O., Nikčević, S.Ž. On Ricci eigenvalues of locally homogeneous Riemannian 3-manifolds. Geom Dedicata 62, 65–72 (1996). https://doi.org/10.1007/BF00240002
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DOI: https://doi.org/10.1007/BF00240002