CLASSIFICATION OF RIEMANNIAN 3-MANIFOLDS WITH DISTINCT CONSTANT PRINCIPAL RICCI CURVATURES

Authors
KOWALSKI O VLASEK Z
Citation
O. Kowalski et Z. Vlasek, CLASSIFICATION OF RIEMANNIAN 3-MANIFOLDS WITH DISTINCT CONSTANT PRINCIPAL RICCI CURVATURES, Bulletin of the Belgian Mathematical Society Simon Stevin, 5(1), 1998, pp. 59-68
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Bulletin of the Belgian Mathematical Society Simon Stevin → ACNP
ISSN journal
13701444
Volume
5
Issue
1
Year of publication
1998
Pages
59 - 68
Database
ISI
SICI code
1370-1444(1998)5:1<59:COR3WD>2.0.ZU;2-N
Abstract
We prove that the local isometry classes of Riemannian 3-manifolds wit h distinct constant Ricci eigenvalues are parametrized by three arbitr ary functions of two variables. This improves essentially the earlier result by A.Spiro and F.Tricerri from [9].