Nonlinear connections and spinor geometry

Sergiu I. Vacaru and Nadejda A. Vicol

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-49

Abstract:

We present an introduction to the geometry of higher-order vector and covector bundles (including higher-order generalizations of the Finsler geometry and Kaluza-Klein gravity) and review the basic results on Clifford and spinor structures on spaces with generic local anisotropy modeled by anholonomic frames with associated nonlinear connection structures. We emphasize strong arguments for application of Finsler-like geometries in modern string and gravity theory, noncommutative geometry and noncommutative field theory, and gravity.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:406089

DOI: 10.1155/S0161171204212170

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