63 citations · 324 across the 31 of their papers we have counts for
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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…
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…
Locally extremal geodesic loops on Riemannian manifold
José Luis Flores
This note proves that any locally extremal non-self-conjugate geodesic loop in a Riemannian manifold is a closed geodesic. As a consequence, any complete and non-contractible Riema…
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…