Nonlinear Connections and Spinor Geometry
Differential Geometry
2007-05-23 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We present an introduction to the geometry of higher order vector and co-vector 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 and noncommutative geometry and noncommutative field theory and gravity.
Keywords
Cite
@article{arxiv.math/0406585,
title = {Nonlinear Connections and Spinor Geometry},
author = {Sergiu I. Vacaru and Nadejda A. Vicol},
journal= {arXiv preprint arXiv:math/0406585},
year = {2007}
}
Comments
It is a short submission variant of math.DG/0205190 reduced to 48 pages with modifications requested by the Editor of IJMMS