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

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

2001-10-03

arxiv.org/abs/math/0110047v1

Mathematics

Differential Geometry

latex, 19 pages

Scientific paper

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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