2 papers
math.SP2026
Spherical n-lunes: billiards and eigenvalues
Pedro Freitas, Isabel Salavessa
We characterise the periodic orbits of geodesic billiards on spherical lunes on . In the case of angle openings of the form for positive integer we fully…
math.SP2025
On domain monotonicity of Neumann eigenvalues of convex domains
Pedro Freitas, James B. Kennedy
Inspired by a recent result of Funano's, we provide a sharp quantitative comparison result between the first nontrivial eigenvalues of the Neumann Laplacian on bounded convex domai…