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

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

1998-07-27

arxiv.org/abs/math/9807152v5

J.Geom.Phys. 32 (2000) 241-251

Mathematics

Differential Geometry

15 pages, LaTeX2e, corrected version

Scientific paper

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 is proposed. The relation between
integrable deformations of surfaces via mVN-hierarchy and integrable
deformations of spinor fields on the surface is also discussed.

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