3 papers
math.DS2026
Relative equilibria, linear stability and electromagnetic curvature
Luca Asselle, Giorgia Testolina
In this paper we study the linear stability of relative equilibria in the Newtonian -body problem from the viewpoint of electromagnetic systems. We first examine the effect of t…
math.DS2025
Bifurcations of planar balanced configurations for the -body problem in
Luca Asselle, Katharina Kormanna, Katharina Kormann +1
Central configurations play a fundamental role in the Newtonian -body problem, as they generate motions that preserve their shape up to rotation and scaling. These include relat…
math.DG2025
Electromagnetic curvature via Jacobi-Maupertuis and beyond
Valerio Assenza, Giorgia Testolina
In the setting of electromagnetic systems, we propose a new definition of electromagnetic Ricci curvature, naturally derived via the classical Jacobi-Maupertuis reparametrization f…