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arxiv: 1311.0300 · v2 · pith:ON3EGYNNnew · submitted 2013-10-30 · 🧮 math.DG · gr-qc

Every Lipschitz metric has C¹-geodesics

classification 🧮 math.DG gr-qc
keywords metricequationeveryfilippovgeodesicgeodesicslipschitzpossesses
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We prove that the geodesic equation for any semi-Riemannian metric of regularity $C^{0,1}$ possesses $C^1$-solutions in the sense of Filippov.

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