2007/07/31 by Sergiu I. Vacaru · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Geometry Research #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #gr-qc #hep-th #math-ph #math.MP #math.SG
paper · pdf · doi:10.1063/1.2821249
published as J.Math.Phys.48:123509,2007 · the latex 2e variant of the manuscript accepted for JMP, 11pt, 23 pages
arxiv created 2007/11/15 · openalex publication_date 2007/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Finsler and Lagrange spaces can be equivalently represented as almost Kähler manifolds endowed with a metric compatible canonical distinguished connection structure generalizing the Levi-Civita connection. The goal of this paper is to perform a natural Fedosov-type deformation quantization of such geometries. All constructions are canonically derived for regular Lagrangians and/or fundamental Finsler functions on tangent bundles.