Chaos and integrability in SL(2,R)-geometry

A. V. Bolsinov, A. P. Veselov, Y. Ye

The integrability of the geodesic flow on the three-folds ${\mathcal{M}}^3$ admitting $SL(2,\mathbb{R})$-geometry in Thurston's sense is investigated. The main examples are the quotien…