Kobayashi pseudo-metrics, entire curves and hyperbolicity of algebraic varieties 1/2
De Julien Duval
An almost complex manifold is hyperbolic if it does not contain any entire curve. We start characterizing hyperbolic compact almost complex manifolds. These are the ones whose holomorphic discs satisfy a linear isoperimetric inequality. Then we prove the almost complex version of the Greeene Theorem : the complementary of five lines in general position in a projective almost complex plane is hyperbolic.