3 papers
math-ph2026
Rotationally Symmetric Zoll Metrics with a Cubic Integral
Holger R. Dullin, Vladimir S. Matveev, Gleb P. Palshin +1
We introduce a new method for constructing Zoll metrics that admit first integrals polynomial in the momenta. The method uses Funk's form of the metric together with an algebraic r…
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…
math.DG2024
Classification of differentially non-degenerate left-symmetric algebras in dimension 3
Serena Scapucci
In terms of Nijenhuis geometry, left-symmetric algebras are the same as Nijenhuis operators whose entries are linear in coordinates. Here we consider Nijenhuis operators for which…