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

1998/12/17 by В. В. Варламов, Vadim V. Varlamov, Varlamov, Vadim V.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Waves and Solitons #math.DG

paper · pdf · doi:10.48550/arxiv.math/9812099

14 pages, LaTeX2e

arxiv created 1998/12/17 · openalex publication_date 1998/12/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy

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