11 citations · 24 across the 18 of their papers we have counts for
20 papers
Finite Index and Do Carmo Question for Constant Mean Curvature Hypersurfaces
Barbara Nelli, Claudia Pontuale
We prove that any finite -index hypersurface in with constant mean curvature must be minimal, provided either of the following conditions holds: - the vo…
An extension of Liebmann's Theorem to hypersurfaces with boundary
Flávio França Cruz, Barbara Nelli
Liebmann's Theorem asserts that a compact, connected, convex surface with constant mean curvature (CMC) in the Euclidean space must be a totally umbilical sphere. In this article w…
The Jenkins-Serrin problem in 3-manifolds with a Killing vector field
Andrea Del Prete, José M. Manzano, Barbara Nelli
We consider a Riemannian submersion from a 3-manifold to a surface , both connected and orientable, whose fibers are the integral curves of a Killing vector field w…
On constant higher order mean curvature hypersurfaces in
Barbara Nelli, Giuseppe Pipoli, Giovanni Russo
We classify hypersurfaces with rotational symmetry and positive constant -th mean curvature in . Specific constant higher order mean curvature hype…
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…
Constant mean curvature hypersurfaces in with small planar boundary
Barbara Nelli, Giuseppe Pipoli
We show that constant mean curvature hypersurfaces in , with small and pinched boundary contained in a horizontal slice are topological disks, provi…