3 citations · 5 across the 6 of their papers we have counts for
6 papers
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…
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,…
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…
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…
Superintegrable systems on conformal surfaces
Jonathan Kress, Konrad Schöbel, Andreas Vollmer
We reconsider non-degenerate second order superintegrable systems in dimension two as geometric structures on conformal surfaces. This extends a formalism developed by the authors,…
Torsion-free connections of second-order maximally superintegrable systems
Andreas Vollmer
Second-order (maximally) conformally superintegrable systems play an important role as models of mechanical systems, including systems such as the Kepler-Coulomb system and the iso…