Hyperbolic manifolds with a large number of systoles

Cayo Dória, Emanoel M. S. Freire, Plinio G. P. Murillo

In this article, for any $n\ge 4$ we construct a sequence of compact hyperbolic $n$-manifolds $\{M_i\}$ with number of systoles at least as $\mathrm{vol}(M_i)^{1+\frac{1}{3n(n+1)}…