Geodesic
Curvature tensors in dimension four which do not belong to any curvature homogeneous space
Archivum mathematicum, Tome 30 (1994) no. 1, pp. 45-57

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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.
Classification : 53C20, 53C21, 53C30
Keywords: Riemannian manifolds; curvature tensor; curvature homogeneous spaces 
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     author = {Kowalski, Old\v{r}ich and Pr\"ufer, Friedbert},
     title = {Curvature tensors in dimension four which do not belong to any curvature homogeneous space},
     journal = {Archivum mathematicum},
     pages = {45--57},
     publisher = {mathdoc},
     volume = {30},
     number = {1},
     year = {1994},
     mrnumber = {1282112},
     zbl = {0813.53027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1994__30_1_a5/}
}
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Kowalski, Oldřich; Prüfer, Friedbert. Curvature tensors in dimension four which do not belong to any curvature homogeneous space. Archivum mathematicum, Tome 30 (1994) no. 1, pp. 45-57. http://geodesic.mathdoc.fr/item/ARM_1994__30_1_a5/