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

arxiv: 2302.08267 · v3 · pith:4633FCYBnew · submitted 2023-02-16 · 🧮 math.DG · math.AP

A σ-homothetic uniqueness of the critical catenoid

Iury Domingos , Roney Santos , Feliciano Vit\'orio This is my paper

classification 🧮 math.DG math.AP

keywords catenoidcriticalhomotheticsigmauniquenessannuliboundaryeuclidean

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

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