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Elliptic, parabolic and hyperbolic operators. Laplace, Laplace-Beltrami, Schrödinger, Dirac. Exterior derivative and Lie derivative operators.
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The spectrum of the Hodge Laplacian on a Riemannian manifold
This is an old question but I guess I can contribute with some information about the computation of the eigenvalues. Actually, to compute explicitly the spectrum of Hodge-Laplacian turns out to be a R …