Generalized Weierstrass representation for surfaces in terms of Dirac-Hestenes spinor field

Here it is proposed a representation of generalized Weierstrass formulae for an immersion of generic surfaces into a 4-dimensional complex space in terms of spinors treated as minimal left ideals of Clifford algebras. The relation between integrable deformations of surfaces via mVN-hierarchy and integrable deformations of spinor fields on the surface is… CONTINUE READING