Isospectral Metrics on Five-Dimensional Spheres
Isospectral Metrics on Five-Dimensional Spheres
We construct isospectral pairs of Riemannian metrics on S5 and on B6, thus lowering by three the minimal dimension of spheres and balls on which such metrics have been constructed previously (Sn≥8 and Bn≥9). We also construct continuous families of isospectral Riemannian metrics on S7 and on B8. In each …