Integral curves of derivations on locally semi-algebraic differential spaces

Jędrzej Śniatycki

doi:10.3934/proc.2003.2003.827

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2003, Volume 2003: 827-833. Doi: 10.3934/proc.2003.2003.827 open access

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Integral curves of derivations on locally semi-algebraic differential spaces

Jędrzej Śniatycki^1,

1.
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta

Received: July 31, 2002

Revised: March 31, 2003

Published: March 2003

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Abstract

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.

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Mathematics Subject Classification: Mathematics Subject Classification.

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