On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4

Details On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4 On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4

2001-09-20

arxiv.org/abs/math/0109153v1

Mathematics

Differential Geometry

latex, 8 pages

Scientific paper

We outline the construction of a proper C^2-smooth function on R^4 such that
its Hamiltonian flow has no periodic orbits on at least one regular level set.
This result can be viewed as a C^2-smooth counterexample to the Hamiltonian
Seifert conjecture in dimension four.

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