New Smooth counterexamples to the Hamiltonian Seifert conjecture
J. Symplectic Geom., Tome 1 (2002) no. 2, p. 253-268 / Harvested from Project Euclid
We construct a new aperiodic symplectic plug and hence new smooth counterexamples to the Hamiltonian Seifert conjecture in ℝ2n for n ≥ 3. In other words, we describe an alternative procedure, to those of V.L. Ginzburg [Gi1, Gi2] and M. Herman [Her], for producing smooth Hamiltonian flows, on symplectic manifolds of dimension at least six, which have compact regular level sets that contain no periodic orbits. The plug described here is a modification of those built by Ginzburg. In particular, we use a different "trap" which makes the necessary embeddings of this plug much easier to construct.
Publié le : 2002-06-14
Classification: 
@article{1092316651,
     author = {Kerman
, Ely},
     title = {New Smooth counterexamples to the Hamiltonian Seifert conjecture},
     journal = {J. Symplectic Geom.},
     volume = {1},
     number = {2},
     year = {2002},
     pages = { 253-268},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1092316651}
}
Kerman
, Ely. New Smooth counterexamples to the Hamiltonian Seifert conjecture. J. Symplectic Geom., Tome 1 (2002) no. 2, pp.  253-268. http://gdmltest.u-ga.fr/item/1092316651/