arXiv subjects

Leonardo Damasceno

Publications and source records attributed to Leonardo Damasceno.

2 recordsLinked to original sources

arXiv2023

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

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 $\mathbb{R}^3$.

math.DG↗

arXiv2022

Stable hypersurfaces with constant higher order mean curvature

We propose a notion of stability for capillary hypersurfaces with constant higher order mean curvature and we generalize some results of the classical stability theory for CMC capillary hypersurfaces.

math.DG↗