Noncommutative Finsler Geometry, Gauge Fields and Gravity

Details Noncommutative Finsler Geometry, Gauge Fields and Gravity Noncommutative Finsler Geometry, Gauge Fields and Gravity

2002-05-16

arxiv.org/abs/math-ph/0205023v3

Chapter 13 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. St

Physics

Mathematical Physics

52 pages, latex2e, version 3 with additional references and minor corrections

Scientific paper

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.

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