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*Oleg P. Tchij*

Contact geometry of hyperbolic Monge--Amp\`ere equations

(Lobachevskii Journal of Mathematics,
Vol.4, pp.109-162)

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

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