A new formalism for the study of natural tensor fields of type (0,2) on manifolds and fibrations

Abstract

In order to study tensor fields of type (0,2) on manifolds and fibrations we introduce a new formalism that we called s-space. The s-spaces induced a one to one correspondence between the (0,2) tensor fields and some differential matricial applications. Using this relationship, we generalized the concept of natural tensor without making use of the theory of natural operators and differential invariants.