Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces
Abstract
Description
Finsler and Lagrange spaces can be equivalently represented as almost Kahler manifolds enabled 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.
the latex 2e variant of the manuscript accepted for JMP, 11pt, 23 pages
the latex 2e variant of the manuscript accepted for JMP, 11pt, 23 pages