×

zbMATH — the first resource for mathematics

Special structures on four-manifolds. (English) Zbl 0796.53031
The formalism of spinors is used to analyse properties of almost complex structures on manifolds in 4-dimension. In the case of a 4-manifold endowed with two anti-commuting almost complex structures, it appears evident that the integrability of an almost complex structure is in the presence of a compatible metric a complementary condition for the symplectic property of the associated 2-form. Examples of hyperkähler, hypercomplex and complex symplectic manifolds are discussed here.
Reviewer: C.-L.Tiba (Iaşi)

MSC:
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
PDF BibTeX XML Cite