  In this article we construct a type of deformations of representations
$\pi_1(M)\rightarrow G$ where $G$ is an arbitrary lie group and $M$ is a large
class of manifolds including CAT(0) manifolds. The deformations are defined
based on codimension 1 hypersurfaces with certain conditions, and also on
disjoint union of such hypersurfaces, i.e. multi-hypersurfaces. We show
commutativity of deforming along disjoint hypersurfaces. As application, we
consider Anosov surface groups in $SO(n,1)$ and show that the construction can
be extended continuously to measured laminations, thus obtaining earthquake
deformations on these surface groups.
