ON COLLINEAR CLOSED ONE-FORMS
Published online by Cambridge University Press: 16 June 2011
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.
- Research Article
- Bulletin of the Australian Mathematical Society , Volume 84 , Issue 2 , October 2011 , pp. 322 - 336
- Copyright © Australian Mathematical Publishing Association Inc. 2011
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