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

Vadim V. Varlamov
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Abstract

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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Vadim V. Varlamov. 2001-09-02. Generalized Weierstrass representation for surfaces in terms of Dirac-Hestenes spinor field. https://arxiv.org/abs/math/9807152

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