4 papers
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…
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…