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| Paper IPM / M / 16720 |
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| Abstract: | |
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Following the unified approach of Kriegl and Michor (1997) for a treatment of global analysis on the convenient locally convex spaces, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected manifolds modelled on convenient locally convex spaces which are not necessarily normable. To indicate an application of our approach to the infinite-dimensional geometric control problems, we conclude the main presentation with a novel controllability result on the group of orientation-preserving diffeomorphisms of the unit circle, which has applications in, e.g., conformal field theory as well as string theory and statistical mechanics.
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