TL;DR
This paper investigates the limitations of expanding, quasi-isometric foliations on manifolds supporting Anosov flows, highlighting topological constraints that prevent their existence.
Contribution
It demonstrates that specific families of manifolds with Anosov flows cannot support certain types of expanding foliations, revealing new topological obstructions.
Findings
Manifolds with Anosov flows do not support expanding, quasi-isometric foliations.
Topological properties restrict the existence of such foliations.
The results identify new obstructions to foliation expansion.
Abstract
Certain families of manifolds which support Anosov flows do not support expanding, quasi-isometric foliations.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometric and Algebraic Topology · Quantum chaos and dynamical systems