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Type: Artigo de periódico
Title: Real Spin-clifford Bundle And The Spinor Structure Of Space-time
Author: Rodrigues Jr. W.A.
Figueiredo V.L.
Abstract: By analyzing the conditions for the existence on a space-time ℒ of a global algebraic spinor field, we prove the following result, known as Geroch's theorem: A necessary and sufficient condition for ℒ to admit a spinor structure is that the orthonormal frame bundle F0(ℒ) have a global section. Our proof, which does not use in any stage the complexification of ℝ1,3 (the space-time Clifford algebra), is simple, requiring only the explicit construction of the algebraic spinor and the spinorial metric within ℝ1,3 and elementary facts about associated bundles and the bundle reduction process. This is to be compared with the original proof, which uses the full algebraic topology machinery. We also clarify the relation of the covariant spinor structure and Graf's e-spinor structure. © 1990 Plenum Publishing Corporation.
Editor: Kluwer Academic Publishers-Plenum Publishers
Rights: fechado
Identifier DOI: 10.1007/BF00674440
Date Issue: 1990
Appears in Collections:Unicamp - Artigos e Outros Documentos

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