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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
A smooth pseudo-gradient for the Lagrangian action functional
Alberto Abbondandolo and Matthias SchwarzAbstract
We study the action functional associated to a smooth Lagrangian function on the cotangent bundle of a manifold, having quadratic growth in the velocities. We show that, although the action functional is in general not twice differentiable on the Hilbert manifold consisting of
- Received:
- 23.12.08
- Published:
- 23.12.08
- MSC Codes:
- 58E05
- Keywords:
- Lagrangian action functional, infinite-dimensional Morse theory