On Compact Leaves of a Morse Form Foliation

Author: Irina Gelbukh

Publ. Math.-Debr., vol. 78, no. 1, pp. 37-48, 2011.

Abstract: On a compact oriented manifold without boundary, we consider a closed 1-form with singularities of Morse type, called Morse form. We give criteria for the foliation defined by this form to have a compact leaf, to have $k$ homologically independent compact leaves, and to have no minimal components.

Keywords: Morse form foliation, compact leaves, collinear 1-forms, form rank

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