# Contact geometry of hyperbolic Monge-Ampère equations

## (*Lobachevskii Journal of Mathematics, Volume IV*)

This paper is devoted to the geometry of hyperbolic Monge-Ampère equations with large symmetry algebras. We classify all hyperbolic Monge-Ampére equations whose Lie algebra of contact symmetries is transitive. We also give the explicit construction for Cartan connections associated with generic hyperbolic Monge-Ampére equations and find those equations which correspond to connections with vanishing curvature tensor.