Isospectral potentials and conformally equivalent isospectral metrics on spheres, balls and Lie groups

Carolyn S. Gordon, Dorothee Schueth

We construct pairs of conformally equivalent isospectral Riemannian metrics ${\varphi }_{1}g$ and ${\varphi }_{2}g$ on spheres $S^n$ and balls $B^{n+1}$ for certain dimensions $n$, the smallest of whi…