3 papers
nlin.SI2020
Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics
Andreas Vollmer
A non-degenerate second-order maximally conformally superintegrable system in dimension 2 naturally gives rise to a quadric with position dependent coefficients. It is shown how th…
math.DG2019
(Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry
Gianni Manno, Andreas Vollmer
Projective connections arise from equivalence classes of affine connections under the reparametrization of geodesics. They may also be viewed as quotient systems of the classical g…
math.DG2018
Projectively equivalent 2-dimensional superintegrable systems with projective symmetries
Andreas Vollmer
This paper combines two classical theories, namely metric projective differential geometry and superintegrability. We study superintegrable systems on 2-dimensional geometries that…