Vector Fields and Flows on Subcartesian Spaces
Differential Geometry
2023-11-17 v2 Symplectic Geometry
Abstract
This paper is part of a series of papers on differential geometry of -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 -ring of global smooth functions integrate to smooth flows.
Keywords
Cite
@article{arxiv.2307.10959,
title = {Vector Fields and Flows on Subcartesian Spaces},
author = {Yael Karshon and Eugene Lerman},
journal= {arXiv preprint arXiv:2307.10959},
year = {2023}
}
Comments
This paper is one in a series of papers, two other arXiv:2212.11163 and arXiv:2307.05604