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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…