Open AccessOn the construction of a 𝐶²-counterexample to the Hamiltonian Seifert Conjecture in ℝ⁴
Author(s) -
Viktor L. Ginzburg,
Başak Z. Gürel
Publication year - 2002
Publication title -
electronic research announcements of the american mathematical society
Language(s) - English
Resource type - Journals
ISSN - 1079-6762
DOI - 10.1090/s1079-6762-02-00100-2
Subject(s) - algorithm , counterexample , conjecture , annotation , computer science , artificial intelligence , mathematics , combinatorics
We outline the construction of a proper C 2 C^2 -smooth function on R 4 \mathbb {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 C^2 -smooth counterexample to the Hamiltonian Seifert conjecture in dimension four.