Submanifold averaging in riemannian and symplecitc geometry

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dc.creatorZambon, Marco
dc.date2002-08-27
dc.date2004-02-25
dc.date.accessioned2026-07-07T06:24:56Z
dc.date.available2026-07-07T06:24:56Z
dc.descriptionWe give a construction to obtain canonically an ``isotropic average'' of given $C^1$-close isotropic submanifolds of a symplectic manifold. To do so we use an improvement of Weinstein's submanifold averaging theorem (obtained in collaboration with H. Karcher) and apply ``Moser's trick''. We also present an application to Hamiltonian group actions.
dc.descriptionNew title (old title: "Averaging of isotropic submanifolds"), paper re-written and expanded. Added: improvement of Weinstein's averaging theorem (Section 2), application to Hamiltonian actions (Section 9). Statement of main theorem improved. Introduction re-written
dc.identifierhttps://arxiv.org/abs/math/0208203
dc.identifierhttp://arxiv.org/abs/math/0208203
dc.identifierJournal of the European Mathematical Society (JEMS), Volume 8, Issue 1, 2006, pp: 77-122.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96713
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53C55; 53D12
dc.titleSubmanifold averaging in riemannian and symplecitc geometry
dc.typetext

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