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math.DG2016★ 2 cited
Eigenvalue bounds for the magnetic Laplacian
Bruno Colbois, Alessandro Savo
We consider a compact Riemannian manifold M endowed with a potential 1-form A and study the magnetic Laplacian associated with those data (with Neumann magnetic boundary condition…
math.DG2014
Heat flow, heat content and the isoparametric property
Alessandro Savo
Let be a Riemannian manifold and a compact domain of with smooth boundary. We study the solution of the heat equation on having constant unit initial conditions and…
math.DG2012
On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain
Simon Raulot, Alessandro Savo
We compute the whole spectrum of the Dirichlet-to-Neumann operator acting on differential p-forms on the unit Euclidean ball. Then, we prove a new upper bound for its first eigenva…