La théorie des points fixes des applications à itérée condensante
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Large time behavior of the heat kernel: the parabolic ...-potential alternative.
Leon Karp, Isaac Chavel (1991)
Commentarii mathematici Helvetici
Length minimizing Hamiltonian paths for symplectically aspherical manifolds
Ely Kerman, François Lalonde (2003)
Annales de l’institut Fourier
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 that a quasi-autonomous Hamiltonian...
Linear algebra and differential geometry on abstract Hilbert space.
Kryukov, Alexey A. (2005)
International Journal of Mathematics and Mathematical Sciences
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