Residues for monogenic forms on Riemannian manifolds. (English) Zbl 0851.32007

Souček, Vladimír

Bureš, J. (ed.) et al., Proceedings of the winter school on geometry and physics, Zdíkov, Czech Republic, January 1993. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 37, 233-242 (1994).

The paper extends the theory of residues on monogenic forms on domains in \(\mathbb{R}^n\) (monogenic forms are generalizations of holomorphic forms to Clifford analysis) to monogenic forms on orientable Riemann manifolds.
For the entire collection see [Zbl 0823.00015].

Reviewer: N.Mihalache (Bucureşti)

MSC:

32A30	Other generalizations of function theory of one complex variable
32A27	Residues for several complex variables
30A05	Monogenic and polygenic functions of one complex variable
15A66	Clifford algebras, spinors

Keywords:

Dirac equation; residues; monogenic forms; Clifford analysis; Riemann manifolds