1 citations · 3 across the 9 of their papers we have counts for
9 papers
Hofer-Zehnder capacity as a geodesic selector
Johanna Bimmermann, Beomjun Sohn
We compute the Hofer-Zehnder capacity of the unit disk cotangent bundle of every ellipsoid in . The capacity is determined by the smaller of two distinguished quantiti…
On the Rigidity of Hamiltonians which are Zoll Near a Minimum, with an Application to Magnetic Systems and Almost-Kähler Manifolds
Gabriele Benedetti, Johanna Bimmermann, Samanyu Sanjay
We study Hamiltonian systems near a compact symplectic Morse-Bott minimum. Our first result shows that if the flow is Zoll (that is, it induces a free circle action) along a sequen…
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
Maximal Weinstein neighborhoods of symmetric R-spaces and their symplectic capacities
Johanna Bimmermann
Symmetric R-spaces can be characterized as real forms of Hermitian symmetric spaces, and as such, they are all embedded as Lagrangian submanifolds. We show that their maximal Weins…
On symplectic geometry of tangent bundles of Hermitian symmetric spaces
Johanna Bimmermann
We explicitly construct a symplectomorphism that relates magnetic twists to the invariant hyperkähler structure of the tangent bundle of a Hermitian symmetric space. This symplecto…
Magnetic billiards and the Hofer-Zehnder capacity of disk tangent bundles of lens spaces
Johanna Bimmermann, Levin Maier
We compute the Hofer-Zehnder capacity of disk tangent bundles of certain lens spaces with respect to the round metric. Interestingly we find that the Hofer-Zehnder capacity does no…
Hofer-Zehnder capacity of magnetic disc tangent bundles over constant curvature surfaces
Johanna Bimmermann
We compute the Hofer-Zehnder capacity of magnetic disc tangent bundles over constant curvature surfaces. We use the fact that the magnetic geodesic flow is totally periodic and can…
Hofer-Zehnder capacity of disc tangent bundles of projective spaces
Johanna Bimmermann
We compute the Hofer-Zehnder capacity of disc tangent bundles of the complex and real projective spaces of any dimension. The disc bundle is taken with respect to the Fubini-Study…
On the Hofer-Zehnder capacity for twisted tangent bundles over closed surfaces
Johanna Bimmermann
We determine the Hofer-Zehnder capacity for twisted tangent bundles over closed surfaces for (i) arbitrary constant magnetic fields on the two-sphere and (ii) strong constant magne…