Abstract
We use maximal periodic flats to show that on a finite volume irreducible locally symmetric manifold of dimension , no metric has more symmetry than the locally symmetric metric. We also show that if a finite volume metric is not locally symmetric, then its lift to the universal cover has discrete isometry group.
Citation
Grigori Avramidi. "Periodic flats and group actions on locally symmetric spaces." Geom. Topol. 17 (1) 311 - 327, 2013. https://doi.org/10.2140/gt.2013.17.311
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