Spectrum of generalized Hodge-Laplace operators on flat tori and round spheres

2015/10/27 by Beitz, Stine Franziska
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.08118

Abstract

We consider generalized Hodge-Laplace operators αd δ+ 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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