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math.DG2026
Hodge Laplacian on -forms of homogeneous -spheres
Jonas Henkel, Emilio A. Lauret
We study the spectrum of the Hodge-Laplacian on -forms for left-invariant metrics on the Lie group and its quotient $\operatorname{SO}(3)\cong P…
math.DG2026
The fundamental group of a spherical space form is not audible
Mauro Colantonio, Emilio A. Lauret
We revisit the problem of isospectral spherical space forms with non-cyclic fundamental groups after the works by Ikeda, Gilkey and Wolf. We find the first pair of spherical space…