arXiv Analytics

Sign in

arXiv:math/0302323 [math.GT]AbstractReferencesReviewsResources

A quick survey of foliations on 4-manifolds

Alexandru Scorpan

Published 2003-02-26, updated 2003-04-15Version 3

We present a few general results on foliations of 4-manifolds by surfaces: existence, tautness, relations to minimal genus of embedded surfaces; as well as some open problems. We hope to stimulate interest in this area.

Comments: 23 pages, 10 LaTeX figures. Infinitesimal revision
Categories: math.GT, math.DG
Subjects: 57R30, 57N13
Related articles: Most relevant | Search more
arXiv:math/0302318 [math.GT] (Published 2003-02-25, updated 2003-12-14)
Existence of foliations on 4-manifolds
arXiv:1901.10033 [math.GT] (Published 2019-01-28)
Minimal genus four manifolds
arXiv:1404.5884 [math.GT] (Published 2014-04-23, updated 2022-09-19)
On the connectedness of the space of codimension one foliations on a closed 3-manifold