11 citations · 22 across the 6 of their papers we have counts for
7 papers · 1 filter
Symplectic capacities of disc cotangent bundles of flat tori
Gabriele Benedetti, Johanna Bimmermann, Kai Zehmisch
We show that on the unit disc cotangent bundle of flat Riemannian tori, all normalized capacities coincide with twice the systole. The same result holds for flat, reversible Finsle…
Lorentz-Finsler metrics on symplectic and contact transformation groups
Alberto Abbondandolo, Gabriele Benedetti, Leonid Polterovich
In these notes we discuss Lorentz-Finsler metrics, a notion originated in relativity theory, on certain groups of symplectic and contact transformations. Some basic geometric quest…
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…
Invariance of symplectic cohomology and twisted cotangent bundles over surfaces
Gabriele Benedetti, Alexander F. Ritter
We prove that symplectic cohomology for open convex symplectic manifolds is invariant when the symplectic form undergoes deformations which may be non-exact and non-compactly suppo…