Geodesic
Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues $\rho\sb 1=\rho\sb 2\neq \rho\sb 3 > 0$
Archivum mathematicum, Tome 32 (1996) no. 2, pp. 137-145 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 53B20, 53C20, 53C25 
@article{ARM_1996_32_2_a5,
     author = {Kowalski, Old\v{r}ich and Sekizawa, Masami},
     title = {Local isometry classes of {Riemannian} $3$-manifolds with constant {Ricci} eigenvalues $\rho\sb 1=\rho\sb 2\neq \rho\sb 3 > 0$},
     journal = {Archivum mathematicum},
     pages = {137--145},
     year = {1996},
     volume = {32},
     number = {2},
     mrnumber = {1407345},
     zbl = {0903.53015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1996_32_2_a5/}
}
TY  - JOUR
AU  - Kowalski, Oldřich
AU  - Sekizawa, Masami
TI  - Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues $\rho\sb 1=\rho\sb 2\neq \rho\sb 3 > 0$
JO  - Archivum mathematicum
PY  - 1996
SP  - 137
EP  - 145
VL  - 32
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ARM_1996_32_2_a5/
LA  - en
ID  - ARM_1996_32_2_a5
ER  - 
%0 Journal Article
%A Kowalski, Oldřich
%A Sekizawa, Masami
%T Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues $\rho\sb 1=\rho\sb 2\neq \rho\sb 3 > 0$
%J Archivum mathematicum
%D 1996
%P 137-145
%V 32
%N 2
%U http://geodesic.mathdoc.fr/item/ARM_1996_32_2_a5/
%G en
%F ARM_1996_32_2_a5
Kowalski, Oldřich; Sekizawa, Masami. Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues $\rho\sb 1=\rho\sb 2\neq \rho\sb 3 > 0$. Archivum mathematicum, Tome 32 (1996) no. 2, pp. 137-145. http://geodesic.mathdoc.fr/item/ARM_1996_32_2_a5/

[1] P.Bueken: Three-dimensional Riemannian manifolds with constant principal Ricci curvatures $\rho _1=\rho _2\ne \rho _3$. preprint, 1995, to appear in J.Math.Phys. | MR

[2] O.Kowalski: An explicit classification of 3-dimensional Riemannian spaces satisfying $R(X,Y)\cdot R=0$. preprint, 1991, to appear in Czech Math.J. | MR

[3] O.Kowalski: A classification of Riemannian 3-manifolds with constant principal Ricci curvatures $\rho _1=\rho _2\ne \rho _3$. Nagoya Math.J. 132(1993), 1-36. | MR

[4] O.Kowalski, M.Sekizawa: Riemannian 3-manifolds with $c$-conullity two. preprint, 1995, to appear in Bolletino U.M.I., 1996. | MR

[5] D.McManus: Riemannian three-metrics with degenerate Ricci tensor. J.Math.Phys. 36(1995), 362-369. | MR