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Hamilton-Arnold Chord And Periodic Orbits

Authors
  • Ma, Renyi
Type
Preprint
Publication Date
Oct 15, 2013
Submission Date
Mar 12, 2006
Identifiers
arXiv ID: math/0603282
Source
arXiv
License
Yellow
External links

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.

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