3 papers
math.DS2025
Normal Singular Geodesics of a Conformally Generic Sub-Riemannian Metric
Shahriar Aslani
We prove that a Mañé generic real-analytic -Hamiltonian H, subjected to a totally non-holonomic real-analytic distribution , has no non-trivial normal -singular orbits of…
math.DS2024
Bumpy metric theorem for co-rank 1 sub-Riemannian and reversible sub-Finsler metrics
Shahriar Aslani, Ke Zhang
We prove that for a generic sub-Riemannian and reversible sub-Finsler metrics defined on a fixed co-rank 1 distribution, all strictly normal periodic orbits are non-degenerate.
math.DS2020
Normal form near orbit segments of convex Hamiltonian systems
Shahriar Aslani, Patrick Bernard
In the study of Hamiltonian systems on cotangent bundles, it is natural to perturb Hamiltoni-ans by adding potentials (functions depending only on the base point). This led to the…