Separation theorems for compact Hausdorff foliations
Wojciech Koz{\l}owski, Szymon M. Walczak
TL;DR
This paper explores conditions under which compact Hausdorff foliations on compact Riemannian manifolds are separated in the Gromov-Hausdorff topology, contributing to the understanding of their geometric structure.
Contribution
It provides sufficient conditions for the separation of such foliations within the Gromov-Hausdorff topology, advancing the geometric analysis of foliated manifolds.
Findings
Identifies conditions for separation in Gromov-Hausdorff topology
Establishes links between foliation properties and metric topology
Enhances understanding of geometric structure of foliations
Abstract
We investigate compact Hausdorff foliations on compact Riemannian manifolds in the context of the Gromov-Hausdorff distance theory. We give some sufficient conditions for such foliations to be separated in the Gromov-Hausdorff topology.
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Taxonomy
TopicsPoint processes and geometric inequalities