Dirac-Hestenes spinors and Weierstrass representation for surfaces in 4D complex space

Abstract

Representations of Dirac-Hestenes and Dirac spinor fields via coordinates of surfaces conformally immersed into 4-dimensional complex space are proposed. A relation between time evolution of spinor fields and integrable deformations of surfaces is discussed.

14 pages, LaTeX2e

References in corpus (5)

• Constant mean curvature surfaces via integrable dynamical system
• Generalized Weierstrass representation for surfaces in multidimensional Riemann spaces
• Dirac-Hestenes spinor fields in Riemann-Cartan spacetime
• The Weierstrass representation of closed surfaces in $R^3$
• Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy

Cited by in corpus (1)

• Spinor Fields on the Surface of Revolution and their Integrable Deformations via the mKdV-Hierarchy