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

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We 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.
14 pages

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Symplectic Geometry, 53D12; 58D10

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http://salesiana.dossiersoluciones.com/handle/123456789/115268

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608082
 http://arxiv.org/abs/math/0608082

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arXiv