20 citations · 39 across the 5 of their papers we have counts for
6 papers
Multiplicity of Finsler geodesics and electromagnetic trajectories via localized deformations
Erasmo Caponio, Anna Valeria Germinario, Antonio Masiello
Given a Finsler manifold and suitable nested regions , with connected and non-contractible, as in the model case of concentric b…
A unified framework for photon and massive particle hypersurfaces in stationary spacetimes
Erasmo Caponio, Anna Valeria Germinario, Anna valeria Germinario +1
Massive particle surfaces (MPS), introduced by Kobialko, Bogush and Gal'tsov, are timelike hypersurfaces confining the trajectories of charged massive particles with fixed Killing…
Lorentzian-Euclidean black holes and Lorentzian to Riemannian metric transitions
Rossella Bartolo, Erasmo Caponio, Anna Valeria Germinario +1
In recent papers on spacetimes with a signature-changing metric, the concept of a Lorentzian-Euclidean black hole and new elements for Lorentzian-Riemannian signature change have b…
Convex regions of stationary spacetimes and Randers spaces. Applications to lensing and asymptotic flatness
Erasmo Caponio, Anna Valeria Germinario, Miguel Sánchez
By using Stationary-to-Randers correspondence (SRC), a characterization of light and time-convexity of the boundary of a region of a standard stationary (n+1)-spacetime is obtained…
Convex domains of Finsler and Riemannian manifolds
Rossella Bartolo, Erasmo Caponio, Anna Valeria Germinario +1
A detailed study of the notions of convexity for a hypersurface in a Finsler manifold is carried out. In particular, the infinitesimal and local notions of convexity are shown to b…
Convexity of domains of Riemannian manifolds
Rossella Bartolo, Anna Germinario, Miguel Sanchez
In this paper we analyze the problem of the geodesic connectedness of subsets of Riemannian manifolds. By using variational methods, the geodesic connectedness of open domains (who…