CR structures on open manifolds

Jacobowitz, Howard; Landweber, Peter

doi:10.1090/proc/12700

CR structures on open manifolds
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by Howard Jacobowitz and Peter Landweber

Proc. Amer. Math. Soc. 144 (2016), 235-248

DOI: https://doi.org/10.1090/proc/12700

Published electronically: April 14, 2015

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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 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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