Abstract
This paper examines some of the foundational aspects of the relativity theory from a historical and epistemological point of view. General Relativity, in fact, establishes the identification of the space-time which is a metric varieties, therefore, "a priori" not dynamic, and matter. This distinguishes general relativity from Newtonian mechanics where space and time are absolute and therefore separable from motion and matter. The calculation on the inherent diversity, as well as all global in nature approaches that are independent of the choice or change of local coordinates are therefore suitable for the description of this theory, and they represent the most significant mathematical legacy of the Theory of Relativity itself.