### A new proof of the Riemann-Poincaré uniformization theorem.

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In this appendix, we observe that Iitaka’s conjecture fits in the more general context of special manifolds, in which the relevant statements follow from the particular cases of projective and simple manifolds.

Consider the following uniformization problem. Take two holomorphic (parametrized by some analytic set defined on a neighborhood of $0$ in ${\u2102}^{p}$, for some $p\>0$) or differentiable (parametrized by an open neighborhood of $0$ in ${\mathbb{R}}^{p}$, for some $p\>0$) deformation families of compact complex manifolds. Assume they are pointwise isomorphic, that is for each point $t$ of the parameter space, the fiber over $t$ of the first family is biholomorphic to the fiber over $t$ of the second family. Then, under which conditions are the...

Si illustrano alcuni sviluppi della teoria delle foliazioni di Monge-Ampère e delle sue applicazioni alla classificazione delle varietà complesse non compatte.

This paper is concerned with compact Kähler manifolds whose tangent bundle splits as a sum of subbundles. In particular, it is shown that if the tangent bundle is a sum of line bundles, then the manifold is uniformised by a product of curves. The methods are taken from the theory of foliations of (co)dimension 1.

We show the variation formula for the Schiffer span s(t) for moving Riemann surfaces R(t) with $t\in B=t\in \u2102\left|\right|t|<\rho $, and apply it to show the simultaneous uniformization of moving planar Riemann surfaces of class ${O}_{AD}$.