Gauge Fields and Gravity
نویسنده
چکیده
The work extends the A. Connes’ noncommutative geometry to spaces with generic local anisotropy. We apply the E. Cartan’s anholonomic frame approach to geometry 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. . Pacs: 02.40.Gh, 02.40.-k, 04.50.+h MSC numbers: 83D05, 46L87, 58B34, 58B20, 53B40, 53C07
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