63 citations · 324 across the 31 of their papers we have counts for
32 papers
On the existence of sections with constant surface gravity on null hypersurfaces
Ivan P. Costa e Silva, José L. Flores, Benjamín Olea
We identify, in spacetimes satisfying the null convergence condition, a certain natural class of null hypersurfaces that admit null sections with constant surface gravity. Our work…
The c-completion of Lorentzian metric spaces
Saúl Burgos, José Luis Flores, Jónatan Herrera
Inspired by some Lorentzian versions of the notion of metric and length space introduced by Kunzinger and Sämman, and more recently, by Müller, and Minguzzi and Sühr, we revisit th…
Omniscient foliations and the geometry of cosmological spacetimes
Ivan P. Costa e Silva, Jose Luis Flores, Jonatan Herrera
We identify certain general geometric conditions on a foliation of a spacetime (M,g) by timelike curves that will impede the existence of null geodesic lines, especially if (M,g) p…
Locally Extremal Timelike Geodesic Loops on Lorentzian Manifolds
Ivan P. Costa e Silva, José L. Flores, Kledilson P. R. Honorato
Conditions for the existence of closed geodesics is a classic, much-studied subject in Riemannian geometry, with many beautiful results and powerful techniques. However, many of th…
Path-lifting properties of the exponential map with applications to geodesics
Ivan P. Costa e Silva, José L. Flores, Kledilson P. R. Honorato
We revisit certain path-lifting and path-continuation properties of abstract maps as described in the work of F. Browder and R. Rheindboldt in 1950-1960s, and apply their elegant t…
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…