Complétude des métriques lorentziennes de \(\mathbb{T}^2 \) et difféomorphismes du cercle

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Let \(\mathcal{F}\) and \(\mathcal{G}\) the foliations by the null geodesics of some lorentzian metricg on the torus \(\mathbb{T}^2 \) . We analyse how geodesic completeness properties ofg are related to the dynamics of \(\mathcal{F}\) and \(\mathcal{G}\) .