A COMPARISON OF HOFER'S METRICS ON HAMILTONIAN DIFFEOMORPHISMS AND LAGRANGIAN SUBMANIFOLDS

DOI10.1142/S0219199703001154zbMath1053.53060arXivmath/0207070MaRDI QIDQ4474409

Yaron Ostrover

Publication date: 12 July 2004

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207070

zbMATH Keywords

symplectic manifoldsLagrangian submanifoldsHofer's metric

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Lagrangian submanifolds; Maslov index (53D12)

Related Items (13)

Hofer geometry of a subset of a symplectic manifold ⋮ Bi-invariant metrics on the contactomorphism groups ⋮ A simple construction of an action selector on aspherical symplectic manifolds ⋮ Introduction to the group of symplectomorphisms ⋮ A quasi-isometric embedding into the group of Hamiltonian diffeomorphisms with Hofer's metric ⋮ Geodesics of Hofer's metric on the space of Lagrangian submanifolds ⋮ DESCENT AND C⁰-RIGIDITY OF SPECTRAL INVARIANTS ON MONOTONE SYMPLECTIC MANIFOLDS ⋮ ON BI-INVARIANT WORD METRICS ⋮ Symplectic structure perturbations and continuity of symplectic invariants ⋮ Barcodes and area-preserving homeomorphisms ⋮ Spectral Invariants with Bulk, Quasi-Morphisms and Lagrangian Floer Theory ⋮ A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant ⋮ Squeezing in Floer theory and refined Hofer-Zehnder capacities of sets near symplectic sub\-manifolds

Cites Work

• Unnamed Item
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• Geodesics of Hofer's metric on the group of Hamiltonian diffeomorphisms
• Invariant Finsler metrics on the space of Lagrangian embeddings
• On the action spectrum for closed symplectically aspherical manifolds
• The geometry of symplectic energy
• Hofer's \(L^ \infty\)-geometry: Energy and stability of Hamiltonian flows. I
• Symplectic manifolds and their Lagrangian submanifolds
• Geodesics on the space of Lagrangian submanifolds in cotangent bundles
• On the topological properties of symplectic maps

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