On uniqueness of free boundary minimal annuli in geodesic balls of ${\mathbb{S}}_{+}^3$ and ${\mathbb{H}}^3$

César Lima

We consider $\Sigma$ an embedded free boundary minimal annulus in a geodesic ball in the round hemisphere ${\mathbb{S}}_{+}^3$ or in the hyperbolic space ${\mathbb{H}}^3$. Under the hypothesi…