Mathematics – Differential Geometry
Scientific paper
1998-11-04
Mathematics
Differential Geometry
AMS-LaTeX, 16 pages, minor changes and corrections
Scientific paper
The present paper is a review of counterexamples to the ``Hamiltonian Seifert conjecture'' or, more generally, of examples of Hamiltonian systems having no periodic orbits on a compact energy level. We begin with the discussion of the ``classical'' and volume--preserving Seifert conjectures. Then a construction of counterexamples to the Hamiltonian Seifert conjecture in dimensions greater than or equal to six is outlined, mainly following the method introduced by the author of the paper. The Hamiltonian version of Seifert's theorem is also stated. A list of all known at this moment examples and constructions of Hamiltonian flows without periodic flows concludes the review.
No associations
LandOfFree
Hamiltonian Dynamical Systems Without Periodic Orbits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hamiltonian Dynamical Systems Without Periodic Orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian Dynamical Systems Without Periodic Orbits will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-610728