Geodesics on the space of Lagrangian submanifolds in cotangent bundles

DOI10.1090/S0002-9939-00-05851-2zbMath0978.53123OpenAlexW1618033848MaRDI QIDQ2706603

Darko Milinković

Publication date: 20 March 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05851-2

zbMATH Keywords

cotangent bundlegeodesicsHofer metricHamiltonian deformations

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Moduli problems for differential geometric structures (58D27) Applications of global analysis to structures on manifolds (57R57) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesics in global differential geometry (53C22) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40)

Related Items

Spectral invariants in Lagrangian Floer homology of open subset ⋮ Action spectrum and Hofer's distance between Lagrangian submanifolds. ⋮ Spectral numbers and manifolds with boundary ⋮ Geodesics of Hofer's metric on the space of Lagrangian submanifolds ⋮ A brief survey of the spectral numbers in floer homology ⋮ A COMPARISON OF HOFER'S METRICS ON HAMILTONIAN DIFFEOMORPHISMS AND LAGRANGIAN SUBMANIFOLDS ⋮ Coisotropic rigidity and \(C^0\)-symplectic geometry

Cites Work

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• Hofer's \(L^ \infty\)-geometry: Energy and stability of Hamiltonian flows. I
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• Cuplength estimates on lagrangian intersections