Closedness of the tangent spaces to the orbits of proper actions

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dc.creatorJotz, Madeleine
dc.creatorNeeb, Karl-Hermann
dc.date2008-04-30
dc.date.accessioned2026-07-07T09:36:05Z
dc.date.available2026-07-07T09:36:05Z
dc.descriptionIn this note we show that for any proper action of a Banach--Lie group $G$ on a Banach manifold $M$, the corresponding tangent maps $\g \to T_x(M)$ have closed range for each $x \in M$, i.e., the tangent spaces of the orbits are closed. As a consequence, for each free proper action on a Hilbert manifold, the quotient $M/G$ carries a natural manifold structure.
dc.identifierhttps://arxiv.org/abs/0804.4858
dc.identifierhttp://arxiv.org/abs/0804.4858
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160048
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject22E65; 58B25; 57E20
dc.titleClosedness of the tangent spaces to the orbits of proper actions
dc.typetext

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