Gap results for free boundary CMC surfaces in conformally Euclidean three-balls

Maria Andrade, Ezequiel Barbosa, Edno Pereira

In this work, we consider $M=({\mathbb{B}}_r^3,\bar{g})$ as the Euclidean three-ball with radius $r$ equipped with the metric $\bar{g}=e^{2h}⟨,⟩$ conformal t…