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Let $\mathcal{F}$ be written as $ f^{*}\mathcal{G}$, where $\mathcal{G}$ is afoliation in $ {\mathbb P^2}$ with three invariant lines in general position,say $(XYZ)=0$, and $f:{\mathbb P^n}--->{\mathbb P^2}$,$f=(F^\alpha_{0}:F^\beta_{1}:F^\gamma_{2})$ is a nonlinear rational map. Usinglocal stability results of singular holomorphic foliations, we prove that: if$n\geq 3$, the foliation $\mathcal{F}$ is globally stable under holomorphicdeformations. As a consequence we obtain new irreducible componentes for thespace of codimension one foliations on $\mathbb P^n$. We present also a resultwhich characterizes holomorphic foliations on ${\mathbb P^n}, n\geq 3$ whichcan be obtained as a pull back of foliations on $ {\mathbb P^2}$ of degree$d\geq2$ with three invariant lines in general position.

Branched pull-back components of the space of codimension 1 foliations on $\mathbb P^n$