105 citations · 248 across the 46 of their papers we have counts for
3 papers · 1 filter
On Riemannian four-manifolds and their twistor spaces: a moving frame approach
Giovanni Catino, Davide Dameno, Paolo Mastrolia
In this paper we study the twistor space of an oriented Riemannian four-manifold using the moving frame approach, focusing, in particular, on the Einstein, non-self-dual se…
A Triviality Result for Semilinear Parabolic Equations
Giovanni Catino, Daniele Castorina, Carlo Mantegazza
We show a triviality result for "pointwise" monotone in time, bounded "eternal" solutions of the semilinear heat equation \begin{equation*} u_{t}=Δu + |u|^{p} \end{equation*} on co…
A Weyl Entropy of Pure Spacetime Regions
Francesco Belgiorno, Giovanni Catino
We focus on the Penrose's Weyl Curvature Hypothesis in a general framework encompassing many specific models discussed in literature. We introduce a candidate density for the Weyl…