3 papers
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…
math.DG2023
Constant angle null hypersurfaces
Samuel Chable-Naal, Matias Navarro, Didier A Solis
In this work we introduce the notion of constant angle null hypersurface of a Lorentzian manifold with respect to a given ambient vector field. We analyze the case in which the vec…
math-ph2023
On the space of compact diamonds of Lorentzian length spaces
Waldemar Barrera, Luis Montes de Oca, Didier A. Solis
In this work we introduce the taxicab and uniform products for Lorentzian pre-length spaces. We further use these concepts to endow the space of causal diamonds wi…