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THE GROUP OF DIFFEOMORPHISMS OF A NON COMPACT MANIFOLD IS NOT REGULAR

Abstract : We show that a group of diffeomorphisms D on the open unit interval I, equipped with the topology of uniform convergence on any compact set of the derivatives at any order, is non regular: the exponential map is not defined for some path of the Lie algebra. this result extends to the group of diffeomorphisms of finite dimensional, non compact manifold M. MSC(2010): 22E65; 22E66.
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https://hal.archives-ouvertes.fr/hal-01653814
Contributor : Jean-Pierre Magnot <>
Submitted on : Friday, December 1, 2017 - 9:55:17 PM
Last modification on : Monday, March 9, 2020 - 6:15:58 PM

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Jean-Pierre Magnot. THE GROUP OF DIFFEOMORPHISMS OF A NON COMPACT MANIFOLD IS NOT REGULAR. 2017. ⟨hal-01653814⟩

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