Hamiltonian systems, Lagrangian tori and Birkhoffs's theorem.
Misha Bialy, Leonid Polterovich (1992)
Mathematische Annalen
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Misha Bialy, Leonid Polterovich (1992)
Mathematische Annalen
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Christopher Allday (1998)
Banach Center Publications
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Eva Miranda, Nguyen Tien Zung (2004)
Annales scientifiques de l'École Normale Supérieure
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Akio Hattori (1998)
Banach Center Publications
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The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".
Heinzner, Peter (1998)
Documenta Mathematica
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Ely Kerman, François Lalonde (2003)
Annales de l’institut Fourier
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In this note we consider the length minimizing properties of Hamiltonian paths generated by quasi-autonomous Hamiltonians on symplectically aspherical manifolds. Motivated by the work of Polterovich and Schwarz, we study the role, in the Floer complex of the generating Hamiltonian, of the global extrema which remain fixed as the time varies. Our main result determines a natural condition which implies that the corresponding path minimizes the positive Hofer length. We use this to prove...
Polterovich, Leonid (1998)
Documenta Mathematica
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