1 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
On the stability of constant higher mean curvature hypersurfaces in a Riemannian manifold
Maria Fernanda Elbert, Barbara Nelli
We propose a notion of stability for constant k-mean curvature hypersurfaces in a general Riemannian manifold and we give some applications. When the ambient manifold is a Space Fo…
Complete hypersurfaces in Euclidean spaces with strong finite total curvature
Manfredo do Carmo, Maria Fernanda Elbert
We prove that strong finite total curvature complete hypersurfaces of (n+1)-euclidean space are proper and diffeomorphic to a compact manifold minus finitely many points. With an a…
Hypersurfaces with H_{r+1}=0 in H x R
Maria Fernanda Elbert, Barbara Nelli, Walcy Santos
We prove the existence of rotational hypersurfaces in with and we classify them. Then we prove some uniqueness theorems for -minimal…
Constructions of -hypersurfaces, barriers and Alexandrov Theorem in
Maria Fernanda Elbert, Ricardo Sa Earp
In this paper, we are concerned with hypersurfaces in with constant r-mean curvature, to be called -hypersurfaces. We construct examples of complete -hypers…