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arxiv: 1506.06504 · v1 · pith:CCZ363D7new · submitted 2015-06-22 · 🧮 math.DG · math.GT

Length product of homologically independent loops for tori

classification 🧮 math.DG math.GT
keywords homologicallyindependentlengthproductaboveadmitsboundedclosed
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We prove that any Riemannian torus of dimension $m$ with unit volume admits $m$ homologically independent closed geodesics whose length product is bounded from above by $m^m$.

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