A C^2-smooth counterexample to the Hamiltonian Seifert conjecture in R^4
arXiv:math/0110047
Abstract
We give a detailed 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.
latex, 19 pages