Triangulation complexity and systolic volume of hyperbolic manifolds
2021
Let $M$ be a closed $n$-manifold with nonzero simplicial volume $\| M \|$. A central result in systolic geometry proved by Gromov is that systolic volume of $M$ is related to $\| M \|$. In this short note, we establish relation between systolic volume and triangulation complexity of hyperbolic manifolds. The proof is based on Jorgensen and Thurston's theorem of hyperbolic manifolds.
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