Abstract
We consider generalized Hodge-Laplace operators $\alpha d \delta + \beta \delta d$ for $\alpha, \beta > 0$ 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.
Citation
Stine Franziska Beitz. "Spectrum of generalized Hodge-Laplace operators on flat tori and round spheres." Osaka J. Math. 57 (2) 357 - 379, April 2020.