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math.DG2004★ 1 cited
Hidden symmetry and arithmetic manifolds
Benson Farb, Shmuel Weinberger
A "hidden symmetry" of a Riemannian manifold M is an isometry of a d-sheeted, 1<d<\infty, Riemannian cover of M which is not the lift of any isometry. In this paper we characterize…
math.DG1999
On the zero-in-the-spectrum conjecture
M. Farber, S. Weinberger
We prove that the answer to the "zero-in-the-spectrum" conjecture, in its form, suggested by J. Lott, is negative. Namely, we show that for any n > 5 there exists a closed n-dimens…