Lorentzian non-stationary dynamical systems
Dynamical Systems
2021-05-07 v1
Abstract
In this paper, we introduce a Lorentzian Anosov family (LAfamily) up to a sequence of distributions of null vectors. We prove for each p Mi, where Mi is a Lorentzian manifold for i Z the tangent space Mi at p has a unique splitting and this splitting varies continuously on a sequence via the distance function created by a unique torsion-free semi-Riemannian connection. We present three examples of LA-families. Also, we define Lorentzian shadowing property of type I and II and prove some results related to this property.
Cite
@article{arxiv.2105.02666,
title = {Lorentzian non-stationary dynamical systems},
author = {MohammadReza Molaei and Najmeh Khajoei},
journal= {arXiv preprint arXiv:2105.02666},
year = {2021}
}