4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.GT2015
Thurston's h-principle for 2-dimensional Foliations of Codimension Greater than One
Yoshihiko Mitsumatsu, Elmar Vogt
We recreate an unpublished proof of William Thurston from the early 1970's that any smooth 2-plane field on a manifold of dimension at least 4 is homotopic to the tangent plane fie…
math.AT2009
Tangential LS-category of K(pi,1)-foliations
Wilhelm Singhof, Elmar Vogt
A K(pi,1)-foliation is one for which the universal covers of all leaves are contractible (thus all leaves are K(pi,1)'s for some pi). In the first part of the paper we show that th…
math.GT2002★ 4 cited
Foliations with few non-compact leaves
Elmar Vogt
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 s…