3 papers
math.DG2026
Affine hypersurfaces and superintegrable systems
Vicente Cortés, Andreas Vollmer
It was recently shown that under mild assumptions second-order conformally superintegrable systems can be encoded in a -tensor, called structure tensor. For abundant systems…
math.DG2025
Hessian geometry and Frobenius manifolds with curvature
Andreas Vollmer
A Riemannian metric is called Hessian if, locally, it can be written as the Hessian of a function called the Hessian potential. A (flat) Manin-Frobenius manifold is a flat Riemanni…
math.DG2025
Manifolds with a commutative and associative product structure that encodes superintegrable Hamiltonian systems
Andreas Vollmer
We show that two natural and a priori unrelated structures encapsulate the same data, namely certain commutative and associative product structures and a class of superintegrable H…