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Nonlinear connections and spinor geometry

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  • Sergiu I. Vacaru
  • Nadejda A. Vicol

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.

Suggested Citation

  • Sergiu I. Vacaru & Nadejda A. Vicol, 2004. "Nonlinear connections and spinor geometry," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-49, January.
    • Handle: RePEc:hin:jijmms:406089
    DOI: 10.1155/S0161171204212170
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