Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 451-457
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We extend a construction by K. Yamato [Ya] to obtain new explicit examples of Riemannian 3-manifolds as in the title. Some of these examples have an interesting geometrical interpretation.
Classification :
53C20, 53C21, 53C25, 53C30, 53C40
Keywords: Riemannian manifold; curvature homogeneous space
Keywords: Riemannian manifold; curvature homogeneous space
@article{CMUC_1993__34_3_a7,
author = {Kowalski, Old\v{r}ich},
title = {Nonhomogeneous {Riemannian} 3-manifolds with distinct constant {Ricci} eigenvalues},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {451--457},
publisher = {mathdoc},
volume = {34},
number = {3},
year = {1993},
mrnumber = {1243077},
zbl = {0789.53024},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a7/}
}
TY - JOUR AU - Kowalski, Oldřich TI - Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues JO - Commentationes Mathematicae Universitatis Carolinae PY - 1993 SP - 451 EP - 457 VL - 34 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a7/ LA - en ID - CMUC_1993__34_3_a7 ER -
%0 Journal Article %A Kowalski, Oldřich %T Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues %J Commentationes Mathematicae Universitatis Carolinae %D 1993 %P 451-457 %V 34 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a7/ %G en %F CMUC_1993__34_3_a7
Kowalski, Oldřich. Nonhomogeneous Riemannian 3-manifolds with distinct constant Ricci eigenvalues. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 451-457. http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a7/