Some properties of generating functions obtained by Amann-Conley-Zehnder reduction |
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Authors: | Piernicola Bettiol |
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Institution: | (1) SISSA/ISAS, via Beirut 2-4, 34014 Trieste, Italy |
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Abstract: | Consider an initial Lagrangian submanifold Λ0 ⊂ T* ℝ
n
that admits a global generating function and a Hamiltonian isotopy Φ
H
t
. Then, we provide a global generating function for the Lagrangian submanifold Λ
t
= Φ
H
t
(Λ0) realized by applying the so-called Amann-Conley-Zehnder reduction. When Λ0 is the zero-section, we study in some detail the asymptotic behavior of such generating functions and give an approximation
result.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 33, Suzdal
Conference-2004, Part 1, 2005. |
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Keywords: | |
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