7 citations · 12 across the 4 of their papers we have counts for
5 papers · 1 filter
Tachibana-type theorems on complete manifolds
Giulio Colombo, Marco Mariani, Marco Rigoli
We prove that a compact Riemannian manifold of dimension with harmonic curvature and -positive curvature operator has constant sectional cur…
A note on spacelike hypersurfaces and timelike conformal vectors
Giulio Colombo, José A. S. Pelegrín, Marco Rigoli
Any compact spacelike hypersurface immersed in a doubly warped product spacetime with nondecreasing warping factor must be a spacelike slice, prov…
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…
Stable maximal hypersurfaces in Lorentzian spacetimes
Giulio Colombo, José A. S. Pelegrín, Marco Rigoli
We study the geometry of stable maximal hypersurfaces in a variety of spacetimes satisfying various physically relevant curvature assumptions, for instance the Timelike Convergence…
Spacelike hypersurfaces in standard static spacetimes
Giulio Colombo, José A. S. Pelegrín, Marco Rigoli
In this work we study spacelike hypersurfaces immersed in spatially open standard static spacetimes with complete spacelike slices. Under appropriate lower bounds on the Ricci curv…