A C^2-smooth counterexample to the Hamiltonian Seifert conjecture in R^4

Basak Z. Gurel; Viktor L. Ginzburg

arxiv: math/0110047 · v1 · submitted 2001-10-03 · 🧮 math.DG · math.DS· math.SG

A C²-smooth counterexample to the Hamiltonian Seifert conjecture in R⁴

Viktor L. Ginzburg , Basak Z. Gurel This is my paper

classification 🧮 math.DG math.DSmath.SG

keywords hamiltoniansmoothconjecturecounterexampleseifertconstructiondetaileddimension

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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.

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A C²-smooth counterexample to the Hamiltonian Seifert conjecture in R⁴

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