3 papers
math.DG2025
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…
math.DG2025
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-ph2024
On Haantjes tensors for second-order superintegrable systems
Ian Marquette, Damien McLeod, Serena Scapucci +1
The vanishing of the Haantjes tensor is an important property that has been linked, for instance, to the existence of separation coordinates and the integrability of systems of hyd…