2 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…