Differential fields and geodesic flows II: Geodesic flows of pseudo-Riemannian algebraic varieties

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...

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Veröffentlicht in:	Israel journal of mathematics 2019-03, Vol.230 (2), p.527-561
1. Verfasser:	Jaoui, Rémi
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Curvature Differential equations Geodesy Group Theory and Generalizations Mathematical and Computational Physics Mathematics Mathematics and Statistics Real numbers Riemann manifold Theoretical
Online-Zugang:	Volltext
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