Degenerate Maxima in Hamiltonian Systems
Symplectic Geometry
2010-01-05 v1
Abstract
In this paper we explore loops of non-autonomous Hamiltonian diffeomorphisms with degenerate fixed maxima. We show that such loops can not have totally degenerate fixed global maxima. This has applications for the Hofer geometry of the group of Hamiltonians for certain symplectic 4 manifolds and also gives criteria for certain 4 manifolds to be uniruled.
Cite
@article{arxiv.1001.0184,
title = {Degenerate Maxima in Hamiltonian Systems},
author = {Mike Chance},
journal= {arXiv preprint arXiv:1001.0184},
year = {2010}
}
Comments
13 pages