M. Magliaro

collaborators

3 papers

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.DG2020

Recent rigidity results for graphs with prescribed mean curvature

Bruno Bianchini, Giulio Colombo, Marco Magliaro +3

This survey describes some recent rigidity results obtained by the authors for the prescribed mean curvature problem on graphs $u : M \to R$ . Emphasis is put on mi…

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

Recent rigidity results for graphs with prescribed mean curvature

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