Conformally invariant massive spinor equations. — I

Abstract

The formulation of the manifest conformally invariant spinor equations with mass term in the six-dimensional space is presented. The six-dimensional space is taken to be the physical space, the additional co-ordinates indicating the scale and scale changes. The minimal dimension of the spin space where a six-vector exists is eight. The geometry of the spin space, affine and spin connections are discussed and the general spinor equation is established.