Publicación

Tipo de publicación: Artículos científicos (Publicados en revistas de divulgación o científicas)

Título del artículo: Comparison theorems for Lorentzian length spaces with lower timelike curvature bounds

Registrado por: General Relativity and Gravitation

Año de publicación: 2022

Resumen: In this article we introduce a notion of normalized angle for Lorentzian pre-length spaces. This concept allows us to prove some equivalences to the definition of timelike curvature bounds from below for Lorentzian pre-length spaces. Specifically, we establish some comparison theorems known as the local Lorentzian version of the Toponogov theorem and the Alexandrov convexity property. Finally, as an application we obtain a first variation formula for non-negatively curved globally hyperbolic Lorentzian length spaces.

Editorial:

Número de páginas:

Autor(es): Waldemar Barrera Vargas Luis Mauricio Montes de Oca Mena Didier Adán Solís Gamboa

Campo: Matemáticas

Disciplina: Geometría

Subdisciplina: Geometría Métrica Lorentziana

Número de registro: https://doi.org/10.1007/s10714-022-02989-2