Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces
General Relativity and Quantum Cosmology
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0707.1519,
title = {Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces},
author = {Sergiu I. Vacaru},
journal= {arXiv preprint arXiv:0707.1519},
year = {2008}
}
Comments
the latex 2e variant of the manuscript accepted for JMP, 11pt, 23 pages