16 citations · 61 across the 19 of their papers we have counts for
3 papers · 1 filter
Some splitting and rigidity results for sub-static spaces
Giulio Colombo, Allan Freitas, Luciano Mari +1
In this paper we study the rigidity problem for sub-static systems with possibly non-empty boundary. First, we get local and global splitting theorems by assuming the existence of…
A sharp Eells-Sampson type theorem under positive sectional curvature upper bounds
Giulio Colombo, Marco Mariani, Marco Rigoli
We prove an extension of Eells and Sampson's rigidity theorem for harmonic maps from a closed manifold of non-negative Ricci curvature to a manifold of non-positive sectional curva…
Maximum principles for weakly -coercive operators with applications to capillary and prescribed mean curvature graphs
Luis J. Alías, Giulio Colombo, Marco Rigoli
In this paper we establish maximum principles for weakly 1-coercive operators on complete, non-compact Riemannian manifolds . In particular, we search for conditions under w…