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arXiv · 2307.10959

Vector Fields and Flows on Subcartesian Spaces

Yael Karshon·Eugene Lerman
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Abstract

This paper is part of a series of papers on differential geometry of $C^\infty$-ringed spaces. In this paper, we study vector fields and their flows on a class of singular spaces. Our class includes arbitrary subspaces of manifolds, as well as symplectic and contact quotients by actions of compact Lie groups. We show that derivations of the $C^\infty$-ring of global smooth functions integrate to smooth flows.

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BibTeXRIS

Yael Karshon, Eugene Lerman. 2023-07-20. Vector Fields and Flows on Subcartesian Spaces. https://doi.org/0.3842/sigma.2023.093

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