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Clifford approach to metric manifolds

Chisholm, J. S. R.; Farwell, R. S. — 1991

Proceedings of the Winter School "Geometry and Physics"

[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 ${e_{j} : j = 1, \dots, n}$ satisfying the condition ${e_{i}, e_{j}} \equiv e_{i} e_{j} = e_{j} e_{i} = 2 I η_{i j}$ , where $I$ denotes the unit scalar of the algebra and ( $η_{i j}$ ) the nonsingular Minkowski...

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