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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★ 6 cited
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…