3 papers
math.DG2026
A Lifting principle of curves under exponential-type maps
Ivan P. Costa e Silva, José L. Flores
We develop a lifting theory for the exponential map of semi-Riemannian manifolds that overcomes the classical obstruction caused by its singularities. We show that every smooth pat…
math.DG2026
Lorentzian Cheeger-Gromov convergence and temporal functions
Saúl Burgos, José L. Flores, Miguel Sánchez
Uniqueness (up to isometries) and existence of limits are studied in the context of Cheeger-Gromov convergence of spacetimes. To address the non-compactness of the vector isometry…
math.DG2024
Low regularity approach to Bartnik's conjecture
José Luis Flores, Jónatan Herrera, Didier A. Solis
In this work we establish a version of the Bartnik Splitting Conjecture in the context of Lorentzian length spaces. In precise terms, we show that under an appropriate timelike com…