# zbMATH — the first resource for mathematics

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
Full Text: