×

zbMATH — the first resource for mathematics

On special Riemannian 3-manifolds with distinct constant Ricci eigenvalues. (English) Zbl 0934.53027
Summary: The first author and F. Prüfer [Z. Anal. Anwend. 14, 43-58 (1995; Zbl 0821.53036)] gave an explicit classification of all Riemannian 3-manifolds with distinct constant Ricci eigenvalues and satisfying additional geometric conditions. The aim of the present paper is to get the same classification under weaker geometric conditions.
MSC:
53C20 Global Riemannian geometry, including pinching
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C30 Differential geometry of homogeneous manifolds
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
PDF BibTeX XML Cite
Full Text: EuDML