Noncommutative Finsler Geometry, Gauge Fields and Gravity

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dc.creatorVacaru, Sergiu
dc.date2002-05-16
dc.date2002-07-16
dc.date.accessioned2026-07-07T06:28:59Z
dc.date.available2026-07-07T06:28:59Z
dc.descriptionThe 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.
dc.description52 pages, latex2e, version 3 with additional references and minor corrections
dc.identifierhttps://arxiv.org/abs/math-ph/0205023
dc.identifierhttp://arxiv.org/abs/math-ph/0205023
dc.identifierChapter 13 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Stavrinos, E. Gaburov and D. Gonta (Geometry Balkan Press, 2006) http://www.mathem.pub.ro/dgds/mono/va-t.pdf
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97884
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleNoncommutative Finsler Geometry, Gauge Fields and Gravity
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