B. Nelli

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20242026

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math.DG2026

Finite Index and Do Carmo Question for Constant Mean Curvature Hypersurfaces

Barbara Nelli, Claudia Pontuale

We prove that any finite $I^´$ -index hypersurface $M$ in $R^{n + 1}$ with constant mean curvature must be minimal, provided either of the following conditions holds: - the v…

math.DG2025

An extension of Liebmann's Theorem to hypersurfaces with boundary

FlÃ¡vio FranÃ§a 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…

math.DG2024

On Stability and Isoperimetry of Constant Mean Curvature Spheres of $H^{n} \times R$ and $S^{n} \times R .$

Ronaldo F. de Lima, Maria F. Elbert, Barbara Nelli

We approach the one-parameter family of rotational constant mean curvature (CMC) spheres of $H^{n} \times R$ and $S^{n} \times R$ focusing on their stabilit…

Finite Index and Do Carmo Question for Constant Mean Curvature Hypersurfaces

An extension of Liebmann's Theorem to hypersurfaces with boundary

On Stability and Isoperimetry of Constant Mean Curvature Spheres of Hn×R and Sn×R.

On Stability and Isoperimetry of Constant Mean Curvature Spheres of $H^{n} \times R$ and $S^{n} \times R .$