CR structures on open manifolds

Howard Jacobowitz; Peter Landweber

doi:10.1090/proc/12700

CR structures on open manifolds

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	235-248
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	1
DOIs	https://doi.org/10.1090/proc/12700
State	Published - Jan 2016

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Keywords

Almost CR
Almost complex
Gromov’s h-principle
Haefliger structure

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10.1090/proc/12700

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AB - 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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CR structures on open manifolds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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