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- W1984611141 abstract "In this paper we provide a criterion for the quasi-autonomous Hamiltonian path(Hofer's geodesic) on arbitrary closed symplectic manifolds (M>,w) tobe length minimizing in its homotopy class in terms of the spectral invariantsp(G;1) that the author has recently constructed. As an application,we prove that any autonomous Hamiltonian path on arbitrary closed symplecticmanifolds is length minimizing in its homotopy class with fixed ends, aslong as it has no contractible periodic orbits of period one and it has amaximum and a minimum that are generically under-twisted, and all of itscritical points are non-degenerate in the Floer theoretic sense." @default.
- W1984611141 created "2016-06-24" @default.
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- W1984611141 date "2005-01-01" @default.
- W1984611141 modified "2023-10-18" @default.
- W1984611141 title "Spectral Invariants and the Length Minimizing Property of Hamilton Paths" @default.
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- W1984611141 doi "https://doi.org/10.4310/ajm.2005.v9.n1.a1" @default.
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