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arXiv · 1110.0438

Minimal orbifolds and (a)symmetry of piecewise locally symmetric manifolds

T. Tam Nguyen Phan
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Abstract

We show that if $g$ is a Riemannian metric on a closed piecewise locally symmetric manifold $M$, then the lift of $g$ to the universal cover $\widetilde{M}$ has a discrete isometry group. We also show that the index $[\Isom(\widetilde{M}): π_1(M)]$ is bounded by a constant independent of $g$.

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T. Tam Nguyen Phan. 2011-10-07. Minimal orbifolds and (a)symmetry of piecewise locally symmetric manifolds. https://arxiv.org/abs/1110.0438

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