Almost continuous extension for taut foliations
نویسندگان
چکیده
منابع مشابه
A Higher Dimensional Generalization of Taut Foliations
A higher dimensional generalization of taut foliations is introduced. Tools from symplectic geometry are used to describe surgery constructions, and to study the space of leaves of this class of foliations. Codimension one foliations are too large a class of structures to obtain strong structure theorems for them. According to a theorem of Thurston [39] a closed manifold admits a codimension on...
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We study the topology of codimension one taut foliations of closed orientable 3-manifolds which are smooth along the leaves. In particular, we focus on the lifts of these foliations to the universal cover, specifically when any set of leaves corresponding to nonseparable points in the leaf space can be totally ordered. We use the structure of branching in the lifted foliation to find conditions...
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We consider a partially hyperbolic diffeomorphism of a compact smooth manifold preserving a smooth measure. Assuming that the central distribution is integrable to a foliation with compact smooth leaves we show that this foliation fails to have the absolute continuity property provided that the sum of Lyapunov exponents in the central direction is not zero on a set of positive measure. We also ...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2001
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2001.v8.n5.a5