Hidden symmetry and arithmetic manifolds

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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.
13 pages

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Differential Geometry, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/71113

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405160
 http://arxiv.org/abs/math/0405160

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arXiv