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arxiv: 1905.04406 · v1 · pith:KAUYJZCDnew · submitted 2019-05-10 · 🧮 math.DG · math.GT

Systole on locally symmetric spaces

classification 🧮 math.DG math.GT
keywords spacessymmetriclocallyarithmeticbestclassescongruenceconstants
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Here we survey on the growth of systoles of arithmetic locally symmetric spaces under the congruence covering and give simple proofs for the best possible constants of Gromov for several important classes of symmetric spaces.

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