2003, 2003(Special): 827-833. doi: 10.3934/proc.2003.2003.827

Integral curves of derivations on locally semi-algebraic differential spaces

1. 

Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada

Received  August 2002 Revised  April 2003 Published  April 2003

We identify a class of differential spaces which contains orbit spaces of proper actions of Lie groups on smooth manifolds. In this class, we prove an existence and uniqueness theorem for integral curves of derivations of smooth functions. We give a necessary and sufficient condition for a derivation to generate a local one parameter group of local diffeomorphisms.
Citation: Jędrzej Śniatycki. Integral curves of derivations on locally semi-algebraic differential spaces. Conference Publications, 2003, 2003 (Special) : 827-833. doi: 10.3934/proc.2003.2003.827
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