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Integral formulae for spinor fields. (English) Zbl 0603.53010
In a previous paper of the same authors [ibid., Suppl. 6, 31-42 (1984; Zbl 0575.32028)] a scheme for the group-theoretical classification of a possible generalization of the Cauchy-Riemann equations on manifolds was described. The aim of the present paper is to present some possibilities how to distinguish those which admit a solution in analogy to the Cauchy integral formula. Especially the real flat case is treated here, mainly in dimension 4 and with group Spin(4).
MSC:
53C27 Spin and Spin\({}^c\) geometry
32C99 Analytic spaces
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