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Article

Kowalski, Oldřich ; Sekizawa, Masami
Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues $\rho\sb 1=\rho\sb 2\neq \rho\sb 3 > 0$. (English). Archivum Mathematicum, vol. 32 (1996), issue 2, pp. 137-145
MSC: 53B20, 53C20, 53C25 | MR 1407345 | Zbl 0903.53015
References:
[1] P.Bueken: Three-dimensional Riemannian manifolds with constant principal Ricci curvatures $\rho _1=\rho _2\ne \rho _3$. preprint, 1995, to appear in J.Math.Phys. MR 1400834
[2] O.Kowalski: An explicit classification of 3-dimensional Riemannian spaces satisfying $R(X,Y)\cdot R=0$. preprint, 1991, to appear in Czech Math.J. MR 1408298
[3] O.Kowalski: A classification of Riemannian 3-manifolds with constant principal Ricci curvatures $\rho _1=\rho _2\ne \rho _3$. Nagoya Math.J. 132(1993), 1-36. MR 1253692
[4] O.Kowalski, M.Sekizawa: Riemannian 3-manifolds with $c$-conullity two. preprint, 1995, to appear in Bolletino U.M.I., 1996. MR 1456259
[5] D.McManus: Riemannian three-metrics with degenerate Ricci tensor. J.Math.Phys. 36(1995), 362-369. MR 1308650
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