Parabolic foliations on 3-manifolds
Vladimir Krouglov
TL;DR
This paper proves that every closed orientable three-manifold can be equipped with a parabolic foliation, expanding the understanding of foliation structures in 3-manifold topology.
Contribution
It establishes that all closed orientable 3-manifolds admit parabolic foliations, a significant existence result in foliation theory.
Findings
Every closed orientable 3-manifold admits a parabolic foliation.
The construction of such foliations is possible for all cases.
This result broadens the class of known foliations in 3-manifolds.
Abstract
In the paper we prove that every closed orientable three-manifold admits a parabolic foliation.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Geometric Analysis and Curvature Flows