An affine tensor is a tensor that corresponds to certain allowable linear coordinate transformations, T:(x^_)^i = a^i _j x^j, where the determinant of a^i _j is nonzero. This transformation takes the rectangular coordinate system (x^i) into the coordinate system ((x^_)^i) having oblique axes. In this way an affine tensor can be seen as a special kind of Cartesian tensor.

Cartesian tensor | tensor