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Pré-Publication, Document De Travail Année : 2015

Length product of homologically independent loops for tori

Résumé

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 $m^m$.

Dates et versions

hal-01167917 , version 1 (25-06-2015)

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Citer

Florent Balacheff, Steve Karam. Length product of homologically independent loops for tori. 2015. ⟨hal-01167917⟩
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