Spinor Representations of Surfaces in 4-Dimensional Pseudo-Riemannian Manifolds

Details Spinor Representations of Surfaces in 4-Dimensional Pseudo-Riemannian Manifolds Spinor Representations of Surfaces in 4-Dimensional Pseudo-Riemannian Manifolds

2000-04-10

arxiv.org/abs/math/0004056v1

Mathematics

Differential Geometry

37 pages, LaTeX2e

Scientific paper

Spinor representations of surfaces immersed into 4-dimensional pseudo-riemannian manifolds are defined in terms of minimal left ideals and tensor decompositions of Clifford algebras. The classification of spinor fields and Dirac operators on the immersed surfaces is given. The Dirac-Hestenes spinor field on surfaces immersed into Lorentzian manifolds and on surfaces conformally immersed into Minkowski spacetime is defined.

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