Foliations on the open $3$-ball by complete surfaces
Takashi Inaba, Kazuo Masuda
TL;DR
This paper investigates the conditions under which a manifold can be realized as a leaf of a complete, closed foliation on the open 3-ball, providing new insights into the structure of such foliations.
Contribution
It offers novel criteria and partial answers to the problem of characterizing manifolds that appear as leaves in complete closed foliations on the open 3-ball.
Findings
Provides conditions for manifolds to be leaves of such foliations
Identifies classes of manifolds that can or cannot be leaves
Advances understanding of foliation structures on 3-balls
Abstract
When is a manifold a leaf of a complete closed foliation on the open unit ball? We give some answers to this question.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Mathematical Dynamics and Fractals