We show that the Singer invariant of a four-dimensional homogeneous space is at most $1$.
@article{119126, author = {Yuki Kiyota and Kazumi Tsukada}, title = {Curvature tensors and Singer invariants of four-dimensional homogeneous spaces}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {40}, year = {1999}, pages = {723-733}, zbl = {1020.53032}, mrnumber = {1756548}, language = {en}, url = {http://dml.mathdoc.fr/item/119126} }
Kiyota, Yuki; Tsukada, Kazumi. Curvature tensors and Singer invariants of four-dimensional homogeneous spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 723-733. http://gdmltest.u-ga.fr/item/119126/
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