The Conley conjecture for the cotangent bundle |
| |
Authors: | Doris Hein |
| |
Institution: | 1.Department of Mathematics,UC Santa Cruz,Santa Cruz,USA |
| |
Abstract: | 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 proven 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|