English

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

Differential Geometry 2025-05-08 v3 Analysis of PDEs

Abstract

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

Keywords

Cite

@article{arxiv.2302.08267,
  title  = {A $\sigma$-homothetic uniqueness of the critical catenoid},
  author = {Iury Domingos and Roney Santos and Feliciano Vitório},
  journal= {arXiv preprint arXiv:2302.08267},
  year   = {2025}
}

Comments

To appear in Bulletin of the Brazilian Mathematical Society