arXiv Analytics

Sign in

arXiv:math/0008113 [math.GT]AbstractReferencesReviewsResources

Almost continuous extension for taut foliations

Danny Calegari

Published 2000-08-15, updated 2002-03-22Version 2

A taut foliation of a hyperbolic 3-manifold has the continuous extension property for leaves in almost every direction; that is, for each leaf of the universal cover of the foliation and almost every geodesic ray in the leaf, the limit of the ray in the universal cover of the 3-manifold is a well-defined point in the ideal boundary.

Comments: 3 pages; incorporates some suggestions of the referee
Journal: Math. Res. Lett. 8 (2001), 637-640
Categories: math.GT
Subjects: 57M50
Related articles: Most relevant | Search more
arXiv:math/0007120 [math.GT] (Published 2000-07-19, updated 2001-11-09)
The Gromov norm and foliations
arXiv:math/0601721 [math.GT] (Published 2006-01-30, updated 2007-01-31)
The universal cover of 3-manifolds built from injective handlebodies is $\mathbb R^3$
arXiv:2309.01222 [math.GT] (Published 2023-09-03)
A remark on taut foliations and Floer homology