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ON COLLINEAR CLOSED ONE-FORMS

  • IRINA GELBUKH (a1)
Abstract

We study one-forms with zero wedge-product, which we call collinear, and their foliations. We characterise the set of forms that define a given foliation, with special attention to closed forms and forms with small singular sets. We apply the notion of collinearity to give a criterion for the existence of a compact leaf and to study homological properties of compact leaves.

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Copyright
COPYRIGHT: © Australian Mathematical Publishing Association Inc. 2011
References
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Bulletin of the Australian Mathematical Society
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  • EISSN: 1755-1633
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