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Integral curves of derivations on locally semi-algebraic differential spaces

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  • 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.
    Mathematics Subject Classification: Mathematics Subject Classification.


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