Geodesic
On the construction of a 𝐶²-counterexample to the Hamiltonian Seifert Conjecture in ℝ⁴
Ginzburg, Viktor1 ; Gürel, Başak1
1 Department of Mathematics, UC Santa Cruz, Santa Cruz, CA 95064, USA
Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 11-19.

Voir la notice de l'article provenant de la source American Mathematical Society

We outline the construction of a proper $C^2$-smooth function on $\mathbb {R}^4$ such that its Hamiltonian flow has no periodic orbits on at least one regular level set. This result can be viewed as a $C^2$-smooth counterexample to the Hamiltonian Seifert conjecture in dimension four.
DOI : 10.1090/S1079-6762-02-00100-2

Ginzburg, Viktor 1 ; Gürel, Başak 1

1 Department of Mathematics, UC Santa Cruz, Santa Cruz, CA 95064, USA 
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Ginzburg, Viktor; Gürel, Başak. On the construction of a 𝐶²-counterexample to the Hamiltonian Seifert Conjecture in ℝ⁴. Electronic research announcements of the American Mathematical Society, Tome 08 (2002), pp. 11-19. doi : 10.1090/S1079-6762-02-00100-2. http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-02-00100-2/

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