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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.SP2025
Semiclassical eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds
Luigi Provenzano, Joachim Stubbe
We exploit an identity for the gradients of Laplacian eigenfunctions on compact homogeneous Riemannian manifolds with irreducible linear isotropy group to obtain asymptotically sha…