A manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold

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dc.creatorBorzellino, Joseph E.
dc.creatorBrunsden, Victor
dc.date2006-08-21
dc.date2009-02-07
dc.date.accessioned2026-07-07T12:38:28Z
dc.date.available2026-07-07T12:38:28Z
dc.descriptionFor a compact, smooth C^r orbifold (without boundary), we show that the topological structure of the orbifold diffeomorphism group is a Banach manifold for finite r \ge 1 and a Frechet manifold if r=infty. In each case, the local model is the separable Banach (Frechet) space of C^r (C^infty, resp.) orbisections of the tangent orbibundle.
dc.description26 pages, 2 figures, final version
dc.identifierhttps://arxiv.org/abs/math/0608526
dc.identifierhttp://arxiv.org/abs/math/0608526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218771
dc.subjectDifferential Geometry
dc.subject57S05, 22F50, 54H99 (Primary); 22E65 (Secondary)
dc.titleA manifold structure for the group of orbifold diffeomorphisms of a smooth orbifold
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