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arXiv · 2105.02666

Lorentzian non-stationary dynamical systems

MohammadReza Molaei·Najmeh Khajoei
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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.

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MohammadReza Molaei, Najmeh Khajoei. 2021-05-06. Lorentzian non-stationary dynamical systems. https://arxiv.org/abs/2105.02666

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