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arXiv · 1804.06103

On the Inner Automorphisms of a Singular Foliation

Alfonso Garmendia·Ori Yudilevich
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Abstract

A singular foliation in the sense of Androulidakis and Skandalis is an involutive and locally finitely generated module of compactly supported vector fields on a manifold. An automorphism of a singular foliation is a diffeomorphism that preserves the module. In this note, we give an alternative proof of the (surprisingly non-trivial) fundamental fact that the time-one flow of an element of a singular foliation (i.e. its exponential) is an automorphism of the singular foliation.

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Alfonso Garmendia, Ori Yudilevich. 2018-04-17. On the Inner Automorphisms of a Singular Foliation. https://arxiv.org/abs/1804.06103

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