A C2-smooth counterexample to the Hamiltonian Seifert conjecture in R4
Viktor L. Ginzburg, Basak Z. Gurel
Abstract
We give a detailed construction of a proper C2-smooth function on R4 such that its Hamiltonian flow has no periodic orbits on at least one regular level set. This result can be viewed as a C2-smooth counterexample to the Hamiltonian Seifert conjecture in dimension four.
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