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On compact leaves of a Morse form foliation. (English) Zbl 1240.57011
The author presents a short and nice study of co-dimension 1 foliations defined by closed 1-forms \(\omega\) arising as differentials of Morse functions (non-degenerate singularities) on a compact, oriented, connected smooth \(n\)-dimensional manifold \(M\). She gives criteria for such foliations to have a compact leaf, to have \(k\) homologically independent compact leaves, and to have no minimal components.

MSC:
57R30 Foliations in differential topology; geometric theory
58K65 Topological invariants on manifolds
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