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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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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Abstract

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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Viktor L. Ginzburg, Basak Z. Gurel. 2001-09-20. On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4. https://arxiv.org/abs/math/0109153

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