  We establish the correspondence between two apparently unrelated but in fact
complementary approaches of a relativistic deformed kinematics: the geometric
properties of momentum space and the loss of absolute locality in canonical
spacetime, which can be restored with the introduction of a generalized
spacetime. This correspondence is made explicit for the case of
$\kappa$-Poincar\'e kinematics and compared with its properties in the Hopf
algebra framework.
