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[For the entire collection see Zbl 0742.00067.]For the purpose of providing a comprehensive model for the physical world, the authors set up the notion of a Clifford manifold which, as mentioned below, admits the usual tensor structure and at the same time a spin structure. One considers the spin space generated by a Clifford algebra, namely, the vector space spanned by an orthonormal basis $\{e_j:j=1,\cdots ,n\}$ satisfying the condition $\{e_i,e_j\}\equiv e_i{e}_j=e_j{e}_i=2I{\eta }_{ij}$, where $I$ denotes the unit scalar of the algebra and (${\eta }_{ij}$) the nonsingular Minkowski...