Vector Fields and Flows on Subcartesian Spaces

Yael Karshon; Eugene Lerman

doi:10.3842/SIGMA.2023.093

Vector Fields and Flows on Subcartesian Spaces

Yael Karshon, Eugene Lerman

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This paper is part of a series of papers on differential geometry of C^∞-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^∞-ring of global smooth functions integrate to smooth flows.

Original language	English
Article number	093
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	19
DOIs	https://doi.org/10.3842/SIGMA.2023.093
State	Published - 2023

Funding

Funders	Funder number
Air Force Office of Scientific Research	FA9550-23-1-0337
United States - Israel Binational Science Foundation
Natural Sciences and Engineering Research Council of Canada

Keywords

C-ring
differential space
flow
subcartesian

Access to Document

10.3842/SIGMA.2023.093

Cite this

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Vector Fields and Flows on Subcartesian Spaces

Abstract

Funding

Keywords

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