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
On the -local systolic optimality of Zoll odd-symplectic forms
Samanyu Sanjay
An odd-symplectic form is a closed and maximally non-degenerate -form on a compact odd-dimensional manifold. It describes the dynamics of an autonomous Hamiltonian system on a r…