3-DIMENSIONAL RIEMANNIAN-MANIFOLDS WITH CONSTANT PRINCIPAL RICCI CURVATURES RHO(1)=RHO(2)NOT-EQUAL-RHO(3)

Authors
BUEKEN P
Citation
P. Bueken, 3-DIMENSIONAL RIEMANNIAN-MANIFOLDS WITH CONSTANT PRINCIPAL RICCI CURVATURES RHO(1)=RHO(2)NOT-EQUAL-RHO(3), Journal of mathematical physics, 37(8), 1996, pp. 4062-4075
Citations number
25
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
8
Year of publication
1996
Pages
4062 - 4075
Database
ISI
SICI code
0022-2488(1996)37:8<4062:3RWCPR>2.0.ZU;2-X
Abstract
The main aim of this paper is the study of (nonhomogeneous) three-dime nsional Riemannian manifolds with constant principal Ricci curvatures rho(1)=rho(2) not equal rho(3). An error in a recent paper by McManus is pointed out and corrected, and it is shown that the techniques intr oduced by McManus provide a very simple method to obtain the complete local classification of these manifolds, which was first given by Kowa lski. (C) 1996 American Institute of Physics.