arXiv subjects
Publications and source records attributed to Mauro Colantonio.
We construct the first examples of isospectral but not strongly isospectral spherical space forms with non-cyclic fundamental groups. We obtain infinitely many such pairs with isomorphic fundamental groups of Type I.
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 forms with non-isomorphic fundamental groups and the same Laplace spectrum. This shows that the isomorphism class of the fundamental group is not audible among spherical space forms. We also found several instances where one can hear the fundamental group of a spherical space form (among spherical space forms).