3 papers
math.SG2026
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…
math.SG2025
The Hopf-Rinow theorem and the Mañé critical value for magnetic geodesics on odd-dimensional spheres
Peter Albers, Gabriele Benedetti, Levin Maier
The subject of this article are magnetic geodesics on odd-dimensional spheres endowed with the round metric and with the magnetic potential given by the standard contact form. We c…
math.DG2023
An observation about conformal points on surfaces
Peter Albers, Gabriele Benedetti
We study the existence of points on a compact oriented surface at which a symmetric bilinear two-tensor field is conformal to a Riemannian metric. We give applications to the exist…