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International Journal of Mathematics and Mathematical Sciences - Volume 2004 2004, Issue 23, Pages 1189-1237

Centro Multidisciplinar de Astrofisica - CENTRA, Departamento de Fisica, Instituto Superior Tecnico, Lisboa 1049-001, Portugal

Faculty of Mathematics and Informatics, State University of Moldova, Chişinău MD 2009, Moldova

Received 21 December 2002

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present an introduction to the geometry of higher-order vectorand covector bundles including higher-order generalizations ofthe Finsler geometry and Kaluza-Klein gravity and review thebasic results on Clifford and spinor structures on spaces withgeneric local anisotropy modeled by anholonomic frames withassociated nonlinear connection structures. We emphasize strongarguments for application of Finsler-like geometries in modernstring and gravity theory, noncommutative geometry andnoncommutative field theory, and gravity.

Autor: Sergiu I. Vacaru and Nadejda A. Vicol



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