D. Schueth

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19972002

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math.DG2002

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 $ϕ_{1} g$ and $ϕ_{2} g$ on spheres $S^{n}$ and balls $B^{n + 1}$ for certain dimensions $n$ , the smallest of whi…

math.DG2001

Isospectral manifolds with different local geometries

Dorothee Schueth

We construct several new classes of isospectral manifolds with different local geometries. After reviewing a theorem by Carolyn Gordon on isospectral torus bundles and presenting c…

math.DG2001

Isospectral metrics on five-dimensional spheres

Dorothee Schueth

We construct isospectral pairs of Riemannian metrics on S^5 and on B^6, thus lowering by three the dimension of spheres and balls on which such metrics have been constructed previo…