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Maximal subalgebras in the algebra of foliated vector fields of a Riemannian foliation. (English) Zbl 0695.53023

Let M be a compact manifold and let F be a Riemannian foliation of M. The algebra of all foliated vector fields of F on M is denoted by \(\bar X(M,F)\). The author describes all finite codimensional subalgebras of \(\bar X(M,F)\).
Reviewer: A.Piatkowski

MSC:

53C12 Foliations (differential geometric aspects)
57R30 Foliations in differential topology; geometric theory
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