D. Schueth

activity

19972002

collaborators

4 papers

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…

dg-ga1997

Continuous families of isospectral metrics on simply connected manifolds

Dorothee Schueth

We construct continuous families of Riemannian metrics on certain simply connected manifolds with the property that the resulting Riemannian manifolds are pairwise isospectral for…