Transverse invariant measures extends to the ambient space
Dynamical Systems
2012-07-12 v1 Geometric Topology
Abstract
It is shown that any transverse invariant measure of a foliated space can be considered as a measure on the ambient space.
Keywords
Cite
@article{arxiv.1103.4696,
title = {Transverse invariant measures extends to the ambient space},
author = {Carlos Meniño Cotón},
journal= {arXiv preprint arXiv:1103.4696},
year = {2012}
}
Comments
We consider generalized measures, not only probability measures, and possibly not $\sigma$-finite. Transverse invariant measures can extend in several ways to the ambient space, we discuss some reasonable conditions where this extension is unique