Integral formulae for spinor fields. (English) Zbl 0603.53010

Bureš, J.; Souček, V.

Rend. Circ. Mat. Palermo, II. Ser., Suppl. 9, 37-42 (1985).

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

Keywords:

Cauchy-Riemann equations on manifolds; Cauchy integral formula

Citations:

Zbl 0575.32028