%0 Journal Article %T On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4 %A Viktor L. Ginzburg %A Basak Z. Gurel %J Mathematics %D 2001 %I arXiv %X 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. %U http://arxiv.org/abs/math/0109153v1