The Palais-Smale condition for contact type energy levels for convex lagrangian systems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove that for a uniformly convex Lagrangian system L on a compact manifold M, almost all energy levels contain a periodic orbit. We also prove that below Ma ne's critical value of the lift of the Lagrangian to the universal cover, almost all energy levels have conjugate points. We prove that if the energy level [E=k] is of contact type and M is not the 2-torus then the free time action functional of L+k satisfies the Palais-Smale condition.
AMS-LaTeX, 66 pages

Keywords

Dynamical Systems, Differential Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/67119

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304238
 http://arxiv.org/abs/math/0304238

Collections

arXiv