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math.DG2025
Magnetic ground states and the conformal class of a surface
Bruno Colbois, Luigi Provenzano, Alessandro Savo
On a closed, orientable Riemannian surface of arbitrary genus and Riemannian metric we study the magnetic Laplacian with magnetic potential given by a harmonic…
math.DG2021
Isoparametric foliations and the Pompeiu problem
Luigi Provenzano, Alessandro Savo
A bounded domain in a Riemannian manifold is said to have the Pompeiu property if the only continuous function which integrates to zero on and on all its congruent imag…