Lie Flows of Codimension 3

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1991Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 326, page 529 (issn: 0002-9947,

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Authors: Gallego, E.; Reventós, A.;

doi: 10.2307/2001772 , 10.1090/s0002-9947-1991-1005934-4

Lie Flows of Codimension 3

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Abstract

We study the following realization problem: given a Lie algebra of dimension 3 3 and an integer q , 0 ≤ q ≤ 3 q,0 \leq q \leq 3 , is there a compact manifold endowed with a Lie flow transversely modeled on G \mathcal {G} and with structural Lie algebra of dimension q q ? We give here a quite complete answer to this problem but some questions remain still open ( cf. § 2 ({\text {cf.}}\;\S 2 .

Keywords

Lie foliation, Lie algebra, Foliations (differential geometric aspects), Foliations in differential topology; geometric theory, Lie flow

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