On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62239We 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.latex, 8 pagesDifferential GeometryDynamical SystemsSymplectic Geometry37J45 and 53D30On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4text