20 citations · 32 across the 9 of their papers we have counts for
6 papers · 1 filter
Connection by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field
Rossella Bartolo, Anna Maria Candela, José Luis Flores
Given a globally hyperbolic spacetime endowed with a complete lightlike Killing vector field and a complete Cauchy hypersurface, we characterize the points which can be connected b…
Remarks on global geodesic properties of Gödel type spacetimes
Rossella Bartolo, Anna Maria Candela, José Luis Flores
The aim of this paper is to review and complete the study of geodesics on Gödel type spacetimes initiated in [8] and improved in [2] of the References. In particular, we prove some…
A note on geodesic connectedness of Gödel type spacetimes
R. Bartolo, A. M. Candela, J. L. Flores
In this note we reduce the problem of geodesic connectedness in a wide class of Gödel type spacetimes to the search of critical points of a functional naturally involved in the stu…
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…
Normal geodesics connecting two non-necessarily spacelike submanifolds in a stationary spacetime
Rossella Bartolo, Anna Maria Candela, Erasmo Caponio
In this paper we obtain an existence theorem for normal geodesics joining two given submanifolds in a globally hyperbolic stationary spacetime. The proof is based on both variation…
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…