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math.DG2020
Geodesic Connectedness of Affine Manifolds
Ivan P. Costa e Silva, José L. Flores
We discuss new sufficient conditions under which an affine manifold is geodesically connected. These conditions are shown to be essentially weaker than those discussed…
math.DG2020
A note on causality conditions on covering spacetimes
Ettore Minguzzi, Ivan P. Costa e Silva
A number of techniques in Lorentzian geometry, such as those used in the proofs of singularity theorems, depend on certain smooth coverings retaining interesting global geometric p…
math.DG2018
Some remarks on conformal symmetries and Bartnik's splitting conjecture
Ivan P. Costa e Silva, José Luis Flores, Jónatan Herrera
Inspired by the results in a recent paper by G. Galloway and C. Vega (see arXiv:1712.00785), we investigate a number of geometric consequences of the existence of a timelike confor…