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

Leonardo Damasceno; Maria Fernanda Elbert

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arXiv · 2305.01093

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

Leonardo Damasceno·Maria Fernanda Elbert

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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 $\mathbb{R}^3$.

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Leonardo Damasceno, Maria Fernanda Elbert. 2023-05-01. Stable free boundary surfaces with constant extrinsic curvature in $3$-dimensional space forms. https://arxiv.org/abs/2305.01093

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