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We consider generalized Hodge-Laplace operators αdδ + βδd for α, β > 0 on p-forms on compact Riemannian manifolds. In the case of flat tori and round spheres of different radii, we explicitly calculate the spectrum of these operators. Furthermore, we investigate under which circumstances they are isospectral.
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Stine Franziska Beitz (2020) studied this question.
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