The Conley conjecture for the cotangent bundle

The Conley conjecture for the cotangent bundle

Archiv d. Math, 96 (2011), 85-100 We prove the Conley conjecture for cotangent bundles of oriented, closed manifolds, and Hamiltonians which are quadratic at infinity, i.e., we show that such Hamiltonians have infinitely many periodic orbits. For the conservative systems, similar results have been p...

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Bibliographic Details
Main Author: Hein, Doris
Format: Journal Article
Language:English
Published: 02-06-2010
Subjects:
Mathematics - Dynamical Systems
Mathematics - Symplectic Geometry
Online Access:Get full text
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Summary:Archiv d. Math, 96 (2011), 85-100 We prove the Conley conjecture for cotangent bundles of oriented, closed manifolds, and Hamiltonians which are quadratic at infinity, i.e., we show that such Hamiltonians have infinitely many periodic orbits. For the conservative systems, similar results have been proved by Lu and Mazzucchelli using convex Hamiltonians and Lagrangian methods. Our proof uses Floer homological methods from Ginzburg's proof of the Conley Conjecture for closed symplectically aspherical manifolds.
DOI:10.48550/arxiv.1006.0372