Geodesics of Hofer's metric on the space of Lagrangian submanifolds

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dc.creatorIriyeh, Hiroshi
dc.creatorOtofuji, Takashi
dc.date2006-08-03
dc.date.accessioned2026-07-07T07:21:20Z
dc.date.available2026-07-07T07:21:20Z
dc.descriptionWe study geodesics of Hofer's metric on the space of Lagrangian submanifolds in arbitrary symplectic manifolds from the variational point of view. We give a characterization of length-critical paths with respect to this metric. As a result, we prove that if two Lagrangian submanifolds are disjoint then we cannot join them by length-minimizing geodesics.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0608082
dc.identifierhttp://arxiv.org/abs/math/0608082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115268
dc.subjectSymplectic Geometry
dc.subject53D12; 58D10
dc.titleGeodesics of Hofer's metric on the space of Lagrangian submanifolds
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