activity
19972025
most citedIsospectral manifolds with different local geometries

4 citations · 8 across the 12 of their papers we have counts for

collaborators

16 papers

math.DG2025

Heat coefficients of surfaces with curved conic singularities

Dorothee Schueth

Let be a two-dimensional Riemannian manifold of finite diameter with a conical singularity. Under the assumption that the metric near the cone point is rotationally inv…

math.DG2022

On the Dirac spectrum of homogeneous 3-spheres

Jordi Kling, Dorothee Schueth

We show that any two left-invariant metrics on which are isospectral for the associated classical Dirac operator must be isometric. In the case o…

math.DG2018

On the corner contributions to the heat coefficients of geodesic polygons

Dorothee Schueth

Let be a compact Riemannian orbisurface. We compute formulas for the contribution of cone points of~ to the coefficient at of the asymptotic expansio…

math.DG2016

Generic irreducibilty of Laplace eigenspaces on certain compact Lie groups

Dorothee Schueth

If is a compact Lie group endowed with a left invariant metric , then acts via pullback by isometries on each eigenspace of the associated Laplace operator . We est…

math.DG2015

Inaudibility of sixth order curvature invariants

Teresa Arias-Marco, Dorothee Schueth

It is known that the spectrum of the Laplace operator on functions of a closed Riemannian manifold does not determine the integrals of the individual fourth order curvature invaria…

math.DG2011

Classical Equivalence and Quantum Equivalence of Magnetic Fields on Flat Tori

Carolyn Gordon, William Kirwin, Dorothee Schueth +1

Let M be a real 2m-torus equipped with a translation-invariant metric h and a translation-invariant symplectic form w; the latter we interpret as a magnetic field on M. The Hamilto…