# Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues ${\rho}_{1}={\rho}_{2}\ne {\rho}_{3}>0$

Oldřich Kowalski; Masami Sekizawa

Archivum Mathematicum (1996)

- Volume: 032, Issue: 2, page 137-145
- ISSN: 0044-8753

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topKowalski, Oldřich, and Sekizawa, Masami. "Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues $\rho _1=\rho _2\ne \rho _3 > 0$." Archivum Mathematicum 032.2 (1996): 137-145. <http://eudml.org/doc/247862>.

@article{Kowalski1996,

author = {Kowalski, Oldřich, Sekizawa, Masami},

journal = {Archivum Mathematicum},

keywords = {principal Ricci curvatures; Riemannian manifolds; classification; local isometry classes; Riemannian 3-manifolds; constant Ricci eigenvalues},

language = {eng},

number = {2},

pages = {137-145},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues $\rho _1=\rho _2\ne \rho _3 > 0$},

url = {http://eudml.org/doc/247862},

volume = {032},

year = {1996},

}

TY - JOUR

AU - Kowalski, Oldřich

AU - Sekizawa, Masami

TI - Local isometry classes of Riemannian $3$-manifolds with constant Ricci eigenvalues $\rho _1=\rho _2\ne \rho _3 > 0$

JO - Archivum Mathematicum

PY - 1996

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 032

IS - 2

SP - 137

EP - 145

LA - eng

KW - principal Ricci curvatures; Riemannian manifolds; classification; local isometry classes; Riemannian 3-manifolds; constant Ricci eigenvalues

UR - http://eudml.org/doc/247862

ER -

## References

top- 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. (1995) MR1400834
- O.Kowalski, An explicit classification of 3-dimensional Riemannian spaces satisfying $R(X,Y)\xb7R=0$, preprint, 1991, to appear in Czech Math.J. (1991) MR1408298
- 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. (1993) MR1253692
- O.Kowalski, M.Sekizawa, Riemannian 3-manifolds with $c$-conullity two, preprint, 1995, to appear in Bolletino U.M.I., 1996. (1995) MR1456259
- D.McManus, Riemannian three-metrics with degenerate Ricci tensor, J.Math.Phys. 36(1995), 362-369. (1995) MR1308650

## Citations in EuDML Documents

top- Norio Hashimoto, Masami Sekizawa, Three-dimensional conformally flat pseudo-symmetric spaces of constant type
- Oldřich Kowalski, Zdeněk Vlášek, On special Riemannian $3$-manifolds with distinct constant Ricci eigenvalues
- N. Malekzadeh, E. Abedi, U.C. De, Pseudosymmetric and Weyl-pseudosymmetric $(\kappa ,\mu )$-contact metric manifolds

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