Hamilton-Arnold Chord And Periodic Orbits
Symplectic Geometry
2013-10-16 v5 Dynamical Systems
Abstract
In this article, we first prove that every Hamilton flow has at least as many Hamilton- Arnold chords as a smooth function on the Legendre submanifold of zero first cohomology has critical points. Second, we prove that every Hamilton flow has at least as many close Hamilton orbits as a smooth round function on the close Hamilton manifold of zero first cohomology has critical circles which implies that the so called Arnold-Ginzburg or Seifert conjecture holds.
Cite
@article{arxiv.math/0603282,
title = {Hamilton-Arnold Chord And Periodic Orbits},
author = {Renyi Ma},
journal= {arXiv preprint arXiv:math/0603282},
year = {2013}
}
Comments
This paper has been withdrawn by the author due to there exists a gap in the proof