3 papers
math.DG2026
Conformal Einstein spaces and conformally covariant operators
Alfonso GarcÃa-Parrado, Jónatan Herrera, Miguel Vadillo
In this article we give general neccessary and sufficient conditions to ensure that a pseudo-Riemannian manifold is conformal to an Einstein space. These conditions are algorithmic…
math.DG2025
Finslerian lightconvex boundaries: applications to causal simplicity and the space of cone geodesics
Jónatan Herrera, Miguel Sánchez
Our outcome is structured in the following sequence: (1) a general result for indefinite Finslerian manifolds with boundary showing the equivalence between local and infini…
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…