3 papers
math.DG2023
Stable free boundary surfaces with constant extrinsic curvature in -dimensional space forms
Leonardo Damasceno, Maria Fernanda Elbert
In this paper we use the notion of stability for free boundary surfaces with constant higher order mean curvature to obtain rigidity results for -surfaces with free boundary o…
math.DG2023
On Stability and Isoperimetry of Constant Mean Curvature Spheres of and
Ronaldo F. de Lima, Maria F. Elbert, Barbara Nelli
We approach the one-parameter family of rotational constant mean curvature (CMC) spheres of and focusing on their stabilit…
math.DG2022
Stable hypersurfaces with constant higher order mean curvature
Leonardo Damasceno, Maria Fernanda Elbert
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 capi…