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arXiv · 1405.1746

CR structures on open manifolds

Howard Jacobowitz·Peter Landweber
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Abstract

We show that the vanishing of the higher dimensional homology groups of a manifold ensures that every almost CR structure of codimension $k$ may be homotoped to a CR structure. This result is proved by adapting a method due to Haefliger used to study foliations (and previously applied to study the relation between almost complex and complex structures on manifolds) to the case of (almost) CR structures on open manifolds.

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Howard Jacobowitz, Peter Landweber. 2014-05-07. CR structures on open manifolds. https://arxiv.org/abs/1405.1746

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