3 papers
math.DG2024
On dual-projectively equivalent connections associated to second order superintegrable systems
Andreas Vollmer
Pre-geodesics of an affine connection are the curves that are geodesics after a reparametrization (the analogous concept in Kähler geometry is known as J-planar curves). Similarly,…
math.DG2024
Second-order superintegrable systems and Weylian geometry
Andreas Vollmer
Abundant second-order maximally conformally superintegrable Hamiltonian systems are re-examined, revealing their underlying natural Weyl structure and offering a clearer geometric…
nlin.SI2024
Abundant Superintegrable Systems and Hessian Structures
John Armstrong, Andreas Vollmer
We show that a large class of non-degenerate second-order (maximally) superintegrable systems gives rise to Hessian structures, which admit natural (Hessian) coordinates adapted to…