2 citations · 2 across the 2 of their papers we have counts for
6 papers
Symplectic homology and periodic orbits near symplectic submanifolds
Kai Cieliebak, Viktor L. Ginzburg, Ely Kerman
We show that a small neighborhood of a closed symplectic submanifold in a geometrically bounded aspherical symplectic manifold has non-vanishing symplectic homology. As a consequen…
Length minimizing Hamiltonian paths for symplectically aspherical manifolds
Ely Kerman, Francois Lalonde
In this paper we consider the length minimizing properties of Hamiltonian paths generated by quasi-autonomous Hamiltonians on symplectically aspherical manifolds. Motivated by the…
New smooth counterexamples to the Hamiltonian Seifert conjecture
Ely Kerman
We construct a new aperiodic symplectic plug and hence new smooth counterexamples to the Hamiltonian Seifert conjecture in R^{2n} for n>2. In other words, we develop an alternative…
Periodic orbits of Hamiltonian flows near symplectic extrema
Viktor L. Ginzburg, Ely Kerman
For Hamiltonian flows we establish the existence of periodic orbits on a sequence of level sets approaching a Bott-nondegenerate symplectic extremum of the Hamiltonian. As a conseq…
Periodic orbits of Hamiltonian flows near symplectic critical submanifolds
Ely Kerman
In this paper we produce a lower bound for the number of periodic orbits of certain Hamiltonian vector fields near Bott-nondegenerate symplectic critical submanifolds. This result…
Periodic Orbits in Magnetic Fields in Dimensions Greater Than Two
Viktor L. Ginzburg, Ely Kerman
The Hamiltonian flow of the standard metric Hamiltonian with respect to the twisted symplectic structure on the cotangent bundle describes the motion of a charged particle on the b…