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On the structure of a Morse form foliation

I. Gelbukh — 2009

Czechoslovak Mathematical Journal

The foliation of a Morse form $ω$ on a closed manifold $M$ is considered. Its maximal components (cylinders formed by compact leaves) form the foliation graph; the cycle rank of this graph is calculated. The number of minimal and maximal components is estimated in terms of characteristics of $M$ and $ω$ . Conditions for the presence of minimal components and homologically non-trivial compact leaves are given in terms of $rk ω$ and $Sing ω$ . The set of the ranks of all forms defining a given foliation without minimal...

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