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On Ricci eigenvalues of locally homogeneous Riemannian 3-manifolds
Authors:O. Kowalski  S. Ž. Nikčević
Affiliation:(1) Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 00 Parha 8, Czech Republic;(2) Mathematical Institute, SANU, Knez Mihailova 35, p.p. 367, 11000 Beograd, Yugoslavia
Abstract:
We find the necessary and sufficient conditions for three constants rhov1, rhov2, rhov3 isin Ropf3 to be the principal Ricci curvatures of some 3-dimensional locally homogeneous Riemannian space.The first author was supported by the grant GACcaronR 201/93/0469; the second author was supported by the grant SFS, Project #0401.
Keywords:Riemannian manifolds  homogeneous manifolds
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