Hidden symmetry and arithmetic manifolds

Benson Farb; Shmuel Weinberger

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Hidden symmetry and arithmetic manifolds

Benson Farb·Shmuel Weinberger

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Abstract

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 the locally symmetric metric(s) on a closed, arithmetic manifold as the unique metric with infinitely many hidden symmetries.

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Benson Farb, Shmuel Weinberger. 2004-05-10. Hidden symmetry and arithmetic manifolds. https://arxiv.org/abs/math/0405160

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