Lie flows of codimension 3

Gallego, E.; Reventós, A.

doi:10.1090/S0002-9947-1991-1005934-4

Lie flows of codimension

Authors: E. Gallego and A. Reventós
Journal: Trans. Amer. Math. Soc. 326 (1991), 529-541
MSC: Primary 53C12; Secondary 57R30
DOI: https://doi.org/10.1090/S0002-9947-1991-1005934-4
MathSciNet review: 1005934
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Abstract: We study the following realization problem: given a Lie algebra of dimension and an integer $q,0 \leq q \leq 3$ , is there a compact manifold endowed with a Lie flow transversely modeled on $\mathcal{G}$ and with structural Lie algebra of dimension ? We give here a quite complete answer to this problem but some questions remain still open $({\text{cf.}}\;\S2$ .

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