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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62320We 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.latex, 19 pagesDifferential GeometryDynamical SystemsSymplectic Geometry37J45; 53D30A C^2-smooth counterexample to the Hamiltonian Seifert conjecture in R^4text