Noncommutative Finsler Geometry, Gauge Fields and Gravity
arXiv:math-ph/0205023
Abstract
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.
52 pages, latex2e, version 3 with additional references and minor corrections
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Cited by in corpus (7)
- Pseudo-Finslerian spacetimes and multi-refringence
- Locally Anisotropic Structures and Nonlinear Connections in Einstein and Gauge Gravity
- (Non)Commutative Finsler Geometry from String/M--theory
- Nonholonomic Clifford Structures and Noncommutative Riemann--Finsler Geometry
- Branes and Quantization for an A-Model Complexification of Einstein Gravity in Almost Kahler Variables
- Duality between the coordinates and wave functions on noncommutative space
- On the Dirac Eigenvalues as Observables of the on-shell N=2 D=4 Euclidean Supergravity