arXiv math/01091532001-09-20math.DGmath.DSmath.SG

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

Viktor L. Ginzburg, Basak Z. Gurel

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英文摘要：

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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