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Vector Fields and Flows on Subcartesian Spaces
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: differential space, $C^\infty$-ring, subcartesian, flow. 
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     author = {Yael Karshon and Eugene Lerman},
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Yael Karshon; Eugene Lerman. Vector Fields and Flows on Subcartesian Spaces. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a92/

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