2 papers
math.DG2022
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…
math.DG2021
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…