A $\sigma$-homothetic uniqueness of the critical catenoid

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Iury Domingos , Roney Santos , Feliciano Vitório This is my paper · ORCID

classification math.DGmath.AP

keywords catenoidcriticalhomotheticsigmauniquenessannuliboundaryeuclidean

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abstract

We prove a uniqueness result for free boundary minimal annuli in the unit Euclidean three-ball that are $\sigma$-homothetic to the critical catenoid.