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arXiv · 1506.06504

Length product of homologically independent loops for tori

Florent Balacheff·Steve Karam
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Abstract

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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Florent Balacheff, Steve Karam. 2015-06-22. Length product of homologically independent loops for tori. https://doi.org/10.1142/s1793525316500175

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