MATHEMATICA BOHEMICA, Vol. 124, No. 1, pp. 45-66 (1999)

On special Riemannian 3-manifolds with distinct constant Ricci eigenvalues

Oldrich Kowalski, Zdenek Vlasek

O. Kowalski, Z. Vlasek, Faculty of Mathematics and Physics Charles University, Sokolovska 83 186 00 Praha, Czech Republic, e-mail: kowalski@karlin. mff.cuni.cz

Abstract: The first author and F. Prüfer gave an explicit classification of all Riemannian 3-manifolds with distinct constant Ricci eigenvalues and satisfying additional geometrical conditions. The aim of the present paper is to get the same classification under weaker geometrical conditions.

Keywords: Riemannian manifold, constant principal Ricci curvatures

Classification (MSC2000): 53C20, 53C21, 53C25, 53C30, 53B20

Full text of the article:


[Previous Article] [Next Article] [Contents of this Number]
© 2004—2005 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition