Showing 2001 · math.DGShow all
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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…