11 citations · 74 across the 21 of their papers we have counts for
5 papers · 2 filters
Symplectic homology of convex domains and Clarke's duality
Alberto Abbondandolo, Jungsoo Kang
We prove that the Floer complex that is associated with a convex Hamiltonian function on is isomorphic to the Morse complex of Clarke's dual action functional tha…
Two closed orbits for non-degenerate Reeb flows
Miguel Abreu, Jean Gutt, Jungsoo Kang +1
We prove that every non-degenerate Reeb flow on a closed contact manifold admitting a strong symplectic filling with vanishing first Chern class carries at least two geomet…
On a systolic inequality for closed magnetic geodesics on surfaces
Gabriele Benedetti, Jungsoo Kang
We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic…
On a local systolic inequality for odd-symplectic forms
Gabriele Benedetti, Jungsoo Kang
The aim of this paper is to formulate a local systolic inequality for odd-symplectic forms (also known as Hamiltonian structures) and to establish it in some basic cases. Let b…
A local contact systolic inequality in dimension three
Gabriele Benedetti, Jungsoo Kang
Let be a contact form on a connected closed three-manifold . The systolic ratio of is defined as , where $T…