Stable free boundary surfaces with constant extrinsic curvature in $3$-dimensional space forms

Abstract

In this paper we use the notion of stability for free boundary surfaces with constant higher order mean curvature to obtain rigidity results for $H_2$-surfaces with free boundary of a geodesic ball of a simply connected $3$-dimensional space form or a slab of ${\mathbb{R}}^3$.

14 pages. arXiv admin note: text overlap with arXiv:2212.14130