Abstract
We recreate an unpublished proof of William Thurston from the early 1970's that any smooth 2-plane field on a manifold of dimension at least 4 is homotopic to the tangent plane field of a foliation.
Information
Published: 1 January 2017
First available in Project Euclid: 4 October 2018
zbMATH: 06843305
MathSciNet: MR3726709
Digital Object Identifier: 10.2969/aspm/07210181
Subjects:
Primary:
57R30
,
57R32
Secondary:
58D05
Keywords:
2-plane fields
,
diffeomorphism groups made discrete
,
foliated bundles
,
integrability of plane fields
Rights: Copyright © 2017 Mathematical Society of Japan
