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.