The rationale behind introduction of the Kobayashi hyperbolicity for complex manifolds are two classical theorems of complex analysis in one variable, namely, the Schwarz-Pick lemma and the little Picard theorem. In the present master thesis Green's projective generalisation of Picard's theorems is proved: The complement of $2n+1$ hyperplanes in general position in ${\mathbb {CP}}^n$ is complete hyperbolic and hyperbolically imbedded in ${\mathbb {CP}}^n$. This is achieved by using the extended Brody theorem for complement of a hypersurface in a compact complex manifold and Borel's generalisation of the little Picard theorem, which proof uses the first main theorem and the logarithmic derivative lemma from Nevanlinna's theory of meromorphic functions.
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