MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1135

Preprint Number 1135

Previous Next Preprint server


1135. Rémi Jaoui
Corps différentiels et Flots géodésiques I : Un critère dynamique d'orthogonalité aux constantes pour les D-variétés réelles
E-mail:

Submission date: 19 December 2016

Abstract:

We present a criterion of orthogonality to the constants for absolutely irreducible real D-varieties relying on the topological dynamic of the associated real analytic flow. More precisely, we prove that if there exists Zariski-dense invariant compact region of the smooth locus of real points of X where the dynamic of the real analytic flow is topologically weakly mixing, then the generic type of (X,v) is orthogonal to the constants. This criterion will be applied in a second part of this article to the model-theoretic study of the geodesic flow of compact real algebraic Riemannian manifolds with negative curvature.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1612.06222: pdf, ps.


Last updated: December 23 2016 12:41 Please send your corrections to: