Isospectral Riemannian Metrics and Potentials

Abstract

For (M, g) a compact Riemannian manifold, we consider the spectra of the Laplace-Beltrami operator and of the Schrödinger operator "Laplacian plus potential" acting on L (M, g). Two Riemannian manifolds are said to be isospectral if their associated Laplacians have the same spectra, and two potentials on the same Riemannian manifold are said to be… (More)

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