Noncommutative Finsler Geometry, Gauge Fields and Gravity
数学物理
2007-05-23 v3 广义相对论与量子宇宙学
高能物理 - 理论
微分几何
math.MP
摘要
The work extends the A. Connes' noncommutative geometry to spaces with generic local anisotropy. We apply the E. Cartan's anholonomic frame approach to geometrical models and physical theories and develop the nonlinear connection formalism for projective module spaces. Examples of noncommutative generation of anholonomic Riemann, Finsler and Lagrange spaces are analyzed. We also present a research on noncommutative Finsler--gauge theories, generalized Finsler gravity and anholonomic (pseudo) Riemann geometry which appear naturally if anholonomic frames (vierbeins) are defined in the context of string/M--theory and extra dimension Riemann gravity.
引用
@article{arxiv.math-ph/0205023,
title = {Noncommutative Finsler Geometry, Gauge Fields and Gravity},
author = {Sergiu Vacaru},
journal= {arXiv preprint arXiv:math-ph/0205023},
year = {2007}
}
备注
52 pages, latex2e, version 3 with additional references and minor corrections