Strongly isospectral manifolds with nonisomorphic cohomology rings

Emilio A. Lauret, Roberto J. Miatello, Juan Pablo Rossetti

For any $n\ge 7$, $k\ge 3$, we give pairs of compact flat $n$-manifolds $M,M^{\prime }$ with holonomy groups ${\mathbb{Z}}_2^k$, that are strongly isospectral, hence isospectral on $p$-form…