Presence of Minimal Components in a Morse Form Foliation

Author: Irina Gelbukh

Differ. Geom. Appl., vol. 22, no. 2, pp. 189-198, 2005.

Abstract: Conditions and a criterion for the presence of minimal components in the foliation of a Morse form $\omega$ on a smooth closed oriented manifold $M$ are given in terms of (1) the maximum rank of a subgroup in $H^1(M,Z)$ with trivial cup-product, (2) $ker [\omega]$, and (3) $rk \omega = rk im [\omega]$, where $[\omega]$ is the integration map.

Keywords: Morse form foliation, minimal components, form rank, cup-product

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