16 citations · 30 across the 9 of their papers we have counts for
9 papers
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…
Harmonic maps from to and the rigidity of the Hopf fibration
Athanasios Georgakopoulos, Marco Magliaro, Luciano Mari +1
It was conjectured by Eells that the only harmonic maps are Hopf fibrations composed with conformal maps of . We support this conjecture by proving its valid…
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 moving along the integral curves of the Hopf unit vector field. While such sol…
Sharp pinching theorems for complete submanifolds in the sphere
Marco Magliaro, Luciano Mari, Fernanda Roing +1
We prove that every complete, minimally immersed submanifold whose second fundamental form satisfies , is either totally geodesi…
On splitting complete manifolds via infinity harmonic functions
Damião J. Araújo, Marco Magliaro, Luciano Mari +1
In this paper, we prove some splitting results for manifolds supporting a non-constant infinity harmonic function which has at most linear growth on one side. Manifolds with non-ne…
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 . Emphasis is put on mi…
Bernstein and half-space properties for minimal graphs under Ricci lower bounds
Giulio Colombo, Marco Magliaro, Luciano Mari +1
In this paper, we prove a new gradient estimate for minimal graphs defined on domains of a complete manifold with Ricci curvature bounded from below. In particular, we show that po…
Keller-Osserman type conditions for differential inequalities with gradient terms on the Heisenberg group
Marco Magliaro, Luciano Mari, Paolo Mastrolia +1
The aim of this paper is to study the qualitative behaviour of non-negative entire solutions of certain differential inequalities involving gradient terms on the Heisenberg group.…
On the geometry of curves and conformal geodesics in the Mobius space
Marco Magliaro, Luciano Mari, Marco Rigoli
This paper deals with the study of some properties of immersed curves in the conformal sphere $\mathds{Q}_n$, viewed as a homogeneous space under the action of the Möbius group. Af…