2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.DG2003★ 2 cited
Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles
Viktor L. Ginzburg, Basak Z. Gurel
The main theme of this paper is a relative version of the almost existence theorem for periodic orbits of autonomous Hamiltonian systems. We show that almost all low levels of a fu…
math.DG2001
A C^2-smooth counterexample to the Hamiltonian Seifert conjecture in R^4
Viktor L. Ginzburg, Basak Z. Gurel
We 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 v…
math.DG2001
On the construction of a C^2-counterexample to the Hamiltonian Seifert Conjecture in R^4
Viktor L. Ginzburg, Basak Z. Gurel
We 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 viewe…