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

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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.
37 pages, LaTeX2e

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Differential Geometry, Mathematical Physics, 15A66, 53A50, 53A10, 35Q55

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http://salesiana.dossiersoluciones.com/handle/123456789/58997

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0004056
 http://arxiv.org/abs/math/0004056

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arXiv