Generalized Lagrange Transforms: Finsler Geometry Methods and Deformation Quantization of Gravity

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dc.creatorVacaru, Sergiu I.
dc.date2007-07-11
dc.date2007-10-11
dc.date.accessioned2026-07-07T08:52:42Z
dc.date.available2026-07-07T08:52:42Z
dc.descriptionWe propose a natural Fedosov type quantization of generalized Lagrange models and gravity theories with metrics lifted on tangent bundle, or extended to higher dimension, following some stated geometric/ physical conditions (for instance, nonholonomic and/or conformal transforms to some physically important metrics or mapping into a gauge model). Such generalized Lagrange transforms define canonical nonlinear connection, metric and linear connection structures and model almost Kahler geometries with induced canonical symplectic structure and compatible affine connection. The constructions are possible due to a synthesis of the nonlinear connection formalism developed in Finsler and Lagrange geometries and deformation quantization methods.
dc.descriptionlatex 2e, 11pt, 17 pages, to be published: An. St. Univ. Al. I. Cuza, Iasi, s I a, Matematica, vol LIII (suplement), 2007
dc.identifierhttps://arxiv.org/abs/0707.1526
dc.identifierhttp://arxiv.org/abs/0707.1526
dc.identifier, An. St. Univ. Al. I. Cuza din Iasi (S.N.), Matematica, vol LIII, 2007, Supliment, 327-342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145370
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleGeneralized Lagrange Transforms: Finsler Geometry Methods and Deformation Quantization of Gravity
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