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…
Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces
Giovanni Catino, Luciano Mari, Paolo Mastrolia +1
In this paper we prove general criticality criteria for operators on manifolds with more than one end, where bounds the Ricci curvature, and a related spectral splittin…
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…
Some geometric properties of generalized -vacuum static spaces
Letizia Branca, Paolo Mastrolia, Marco Rigoli
In this paper we study the geometry of generalized -vacuum static spaces, proving estimates for the -scalar curvature and for the first eigenvalue of the Jacobi operator, a…
Uniqueness of critical metrics for a quadratic curvature functional
Giovanni Catino, Paolo Mastrolia, Dario D. Monticelli
In this paper we prove a new rigidity results for complete, possibly non-compact, critical metrics of the quadratic curvature functional : we sh…