Abstract
We provide a short and elementary proof of the main technical result of the recent article âUniqueness of Clifford torus with prescribed isoperimetric ratioâ by Thomas Yu and Jingmin Chen [Proc. Amer. Math. Soc. 150 (2022), pp. 1749â1765]. The key of the new proof is an explicit expression of the central function ( I s o \mathsf {Iso} , to be proved bijective) as a quotient of Gaussian hypergeometric functions.
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