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Preprint Number 1184
1184. Rémi Jaoui Differential fields and Geodesic flows II : Geodesic flows of
pseudo-Riemannian algebraic varieties E-mail: Submission date: 1 March 2017 Abstract:
We define the notion of a smooth pseudo-Riemannian algebraic variety (X,g)
over a field k of characteristic 0, which is an algebraic analogue of the
notion of Riemannian manifold and we study, from a model-theoretic perspective,
the algebraic differential equation describing the geodesics on (X,g). Mathematics Subject Classification: 03C98 Keywords and phrases: |

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