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

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

2011-10-03

arxiv.org/abs/1110.0438v2

Mathematics

Geometric Topology

8 pages, 2 figures

Scientific paper

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
$[\Isom(\widetilde{M}): \pi_1(M)]$ is bounded by a constant independent of $g$.

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