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math.DG2009★ 20 cited
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…
math.DG2009
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…