On an almost complex manifold approach to elementary particles

An almost complex manifold description of elementary particles is proposed which links the approaches given independently by J. Lawrynowicz and L. Wotjtczak, and by C. von Westenholz. This description leads to relations between the curvature form of an almost complex manifold, which accounts for the symmetry classification schemes within the frame of principal fibre bundles, and a curved Minikowskispace-time via induced smooth mappings characterizing nuclear reaction of type N+π → N, N → N+π, where N is some nucleon and π the virtual π-meson of this reaction. (orig./BJ)