Ranks of collinear Morse forms. (English) Zbl 1210.57027

Gelbukh, Irina

J. Geom. Phys. 61, No. 2, 425-435 (2011).

The rank of a closed 1-form is the rank of its group of periods. In the paper under review the author deals with foliations on closed manifolds induced by closed 1-forms with Morse type singularities. The author describes the set of the ranks of such forms and shows how it is related to the structure of the foliation and the manifold.

Reviewer: Maurício Barros Corrêa Jr. (Viçosa)

MSC:

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

Keywords:

Morse foliations; form’s rank; minimal components; compact leaves

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