A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.
@article{107494,
author = {Old\v rich Kowalski and Friedbert Pr\"ufer},
title = {Curvature tensors in dimension four which do not belong to any curvature homogeneous space},
journal = {Archivum Mathematicum},
volume = {030},
year = {1994},
pages = {45-57},
zbl = {0813.53027},
mrnumber = {1282112},
language = {en},
url = {http://dml.mathdoc.fr/item/107494}
}
Kowalski, Oldřich; Prüfer, Friedbert. Curvature tensors in dimension four which do not belong to any curvature homogeneous space. Archivum Mathematicum, Tome 030 (1994) pp. 45-57. http://gdmltest.u-ga.fr/item/107494/
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