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On Subcartesian Spaces Leibniz’ Rule Implies the Chain Rule

Part of: General theory of differentiable manifolds

Published online by Cambridge University Press:  07 November 2019

Richard Cushman  and
Jędrzej Śniatycki
Richard Cushman
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, AB Email: rcushman@math.ucalgary.casniatycki@ucalgary.ca
Jędrzej Śniatycki
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, AB Email: rcushman@math.ucalgary.casniatycki@ucalgary.ca
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Abstract

We show that derivations of the differential structure of a subcartesian space satisfy the chain rule and have maximal integral curves.

Keywords

subcartesian differential spacederivation of differential structureintegral curve of derivation

MSC classification

Primary: 58A40: Differential spaces
Type
Article
Information
Canadian Mathematical Bulletin , Volume 63 , Issue 2 , June 2020 , pp. 348 - 357
Copyright
© Canadian Mathematical Society 2019

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References

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