Spectral analysis and the Aharonov-Bohm~effect on certain almost-Riemannian manifolds

Ugo Boscain, Dario Prandi, Marcello Seri

We study spectral properties of the Laplace-Beltrami operator on two relevant almost-Riemannian manifolds, namely the Grushin structures on the cylinder and on the sphere. This ope…