Quantitative $C^1$-stability of spheres in rank one symmetric spaces of non-compact type

Lauro Silini

We prove that in any rank one symmetric space of non-compact type $M\in \{\mathbb{R}{H}^n,\mathbb{C}{H}^m,\mathbb{H}{H}^m,\mathbb{O}{H}^2\}$, geodesic spheres are uniformly quantitative…