6 papers
On the Geometry of Cotton Gravity
Giulio Colombo, Filippo Mastropietro, Marco Rigoli
We analyze the geometry of the field equations of Cotton gravity (for a quite general energy-momentum tensor) on a static space-time. In particular, we describe the local structure…
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…
On the Geometry of -Static Perfect Fluid Space-Times
Letizia Branca, Giulio Colombo, Paolo Mastrolia +2
In this paper we study the geometry of -static perfect fluid space-times (-SPFST, for short). In the context of Einstein's General Relativity, they arise from a space-time wh…
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…