Foliations with few non-compact leaves

Details Foliations with few non-compact leaves Foliations with few non-compact leaves

2002-05-04

arxiv.org/abs/math/0205036v1

Algebr. Geom. Topol. 2 (2002) 257-284

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-12.abs.html

Scientific paper

Let F be a foliation of codimension 2 on a compact manifold with at least one non-compact leaf. We show that then F must contain uncountably many non-compact leaves. We prove the same statement for oriented p-dimensional foliations of arbitrary codimension if there exists a closed p form which evaluates positively on every compact leaf. For foliations of codimension 1 on compact manifolds it is known that the union of all non-compact leaves is an open set [A Haefliger, Varietes feuilletes, Ann. Scuola Norm. Sup. Pisa 16 (1962) 367-397].

Affiliated with

Also associated with

No associations

Rating

Foliations with few non-compact leaves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Foliations with few non-compact leaves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Foliations with few non-compact leaves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-351253