On the systole growth in congruence quaternionic hyperbolic manifolds

2019/11/04 by Emery, Vincent, Kim, Inkang, Murillo, Plinio G. P. · 1 citation
#22E40 #51M25 #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1911.01170

Abstract

We provide an explicit lower bound for the sytole in principal congruence covers of compact quaternionic hyperbolic manifolds. We also prove the optimality of this lower bound.

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• On Systole, Kissing Number and Volume of Arithmetic Manifolds

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