All Riemannian 3-manifolds with distinct constant Ricci eigenvalues and satisfying some additional geometrical conditions are classified in an explicit form. One obtains locally homogeneous spaces and two different classes of locally non-homogeneous spaces in this way.
Cite this article
O. Kowalski, Friedbert Prüfer, A Classification of Special Riemannian 3-Manifolds with Distinct Constant Ricci Eigenvalues. Z. Anal. Anwend. 14 (1995), no. 1, pp. 43–58DOI 10.4171/ZAA/662