From a Reeb orbit trap to a Hamiltonian plug

Author:

Geiges Hansjörg,Röttgen Nena,Zehmisch Kai

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference18 articles.

1. Ya. Eliashberg and N. Mishachev, Introduction to the $${h}$$ h -Principle, Graduate Studies in Mathematics 48, American Mathematical Society, Providence, RI, 2002.

2. Geiges H., Röttgen N., Zehmisch K.: Trapped Reeb orbits do not imply periodic ones. Invent. Math. 198, 211–217 (2014)

3. V. L. Ginzburg, An embedding $${S^{2n-1}\rightarrow{\mathbb{R}}^{2n}}$$ S 2 n - 1 → R 2 n , $${2n-1\geq 7}$$ 2 n - 1 ≥ 7 , whose Hamiltonian flow has no periodic trajectories, Internat. Math. Res. Notices (1997), 83–97.

4. V. L. Ginzburg, A smooth counterexample to the Hamiltonian Seifert conjecture in $${{\mathbb{R}}^6}$$ R 6 , Internat. Math. Res. Notices, (1997) 641–650.

5. V. L. Ginzburg, Hamiltonian dynamical systems without periodic orbits, in: Northern California Symplectic Geometry Seminar, American Mathematical Society Translations, Series 2, 196, American Mathematical Society, Providence, RI (1999), 35–48.

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