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math.DG2003★ 1 cited
The Weinstein conjecture and the theorems of nearby and almost existence
Viktor L. Ginzburg
The Weinstein conjecture, as the general existence problem for periodic orbits of Hamiltonian or Reeb flows, has been among the central questions in symplectic topology for over tw…
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…