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Journal Articles Proceedings of the American Mathematical Society Year : 2022

A hypergeometric proof that Iso is bijective

Abstract

We provide a short and elementary proof of the main technical result of the recent article “Uniqueness of Clifford torus with prescribed isoperimetric ratio” by Thomas Yu and Jingmin Chen [Proc. Amer. Math. Soc. 150 (2022), pp. 1749–1765]. The key of the new proof is an explicit expression of the central function (Iso, to be proved bijective) as a quotient of Gaussian hypergeometric functions.
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Dates and versions

hal-03426008 , version 1 (11-11-2021)

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Alin Bostan, Sergey Yurkevich. A hypergeometric proof that Iso is bijective. Proceedings of the American Mathematical Society, 2022, 150 (5), pp.2131-2136. ⟨10.1090/proc/15836⟩. ⟨hal-03426008⟩
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