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math.DG2011★ 2 cited
Isospectral Alexandrov Spaces
Alexander Engel, Martin Weilandt
We construct the first non-trivial examples of compact non-isometric Alexandrov spaces which are isospectral with respect to the Laplacian and not isometric to Riemannian orbifolds…
math.DG2010★ 2 cited
Isospectral metrics on weighted projective spaces
Martin Weilandt
We construct the first examples of families of bad Riemannian orbifolds which are isospectral with respect to the Laplacian but not isometric. In our case these are particular fixe…
math.DG2007
Isospectral orbifolds with different maximal isotropy orders
Juan Pablo Rossetti, Dorothee Schueth, Martin Weilandt
We construct pairs of compact Riemannian orbifolds which are isospectral for the Laplace operator on functions such that the maximal isotropy order of singular points in one of the…