5 papers
Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in
Xavier Cabre, Giovanni Catino, Luciano Mari +2
We describe a method to prove new integral inequalities for stable minimal hypersurfaces in Euclidean space. As an application, we give a simple proof that complete, two sided, sta…
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…
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 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…
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…