Abstract
AbstractWe 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.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. Loops in Reeb Graphs of n-Manifolds;Discrete & Computational Geometry;2017-12-04
2. Singular foliations for M-theory compactification;Journal of High Energy Physics;2015-03