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Isospectral metrics and potentials on classical compact simple Lie groups

Isospectral metrics and potentials on classical compact simple Lie groups

Given a compact Riemannian manifold (M, g), the eigenvalues of the Laplace operator � form a discrete sequence known as the spectrum of (M, g). (In the case the M has boundary, we stipulate either Dirichlet or Neumann boundary conditions.) We say that two Riemannian manifolds are isospectral if they …