Luciano Mari

activity

20232026

most citedSharp pinching theorems for complete submanifolds in the sphere

2 citations · 2 across the 6 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.DG2025

On the classification of capillary graphs in Euclidean and non-Euclidean spaces

Giulio Colombo, Alberto Farina, Marco Magliaro +2

We prove some rigidity and classification results for graphs with prescribed mean curvature and locally constant Dirichlet and Neumann data, for instance as they appear in capillar…

math.DG2025

Harmonic maps from $S^{3}$ to $S^{2}$ and the rigidity of the Hopf fibration

Athanasios Georgakopoulos, Marco Magliaro, Luciano Mari +1

It was conjectured by Eells that the only harmonic maps $f : S^{3} \to S^{2}$ are Hopf fibrations composed with conformal maps of $S^{2}$ . We support this conjecture by proving its valid…

math.DG2025

On mean curvature flow solitons in the sphere

Marco Magliaro, Luciano Mari, Fernanda Roing +1

In this paper, we consider soliton solutions of the mean curvature flow in the unit sphere $S^{2 n + 1}$ moving along the integral curves of the Hopf unit vector field. While such sol…

On the classification of capillary graphs in Euclidean and non-Euclidean spaces

Harmonic maps from S3 to S2 and the rigidity of the Hopf fibration

On mean curvature flow solitons in the sphere

Harmonic maps from $S^{3}$ to $S^{2}$ and the rigidity of the Hopf fibration