3 papers
math.AG2026
On The Geometry and Topology of Cayley Condition in Poncelet Porism for Triangles
Yirmeyahu Kaminski
This paper investigates the differential-geometric and topological properties of the Cayley condition in Poncelet porism for triangles, defined as the locus of pairs of non-degener…
math.DG2026
Local Integrable Symmetries of Diffieties
François Ollivier, Yirmeyahu J. Kaminski
In the framework of diffieties, introduced by Vinogradov, we introduce integrable infinitesimal symmetries and show that they define a one parameter pseudogroup of local diffiety m…
math.DS2025
On the Equilibrium Locus of a Parameterized Dynamical System with Independent First Integrals
Yirmeyahu Kaminski, Pierre Lochak
For a family of dynamical systems with independent first integrals evolving in a compact region of an Euclidean space, we study the equilibrium locus. We show that under mi…