Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces

Details Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces

2007-07-11

arxiv.org/abs/0707.1519v2

J.Math.Phys.48:123509,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

the latex 2e variant of the manuscript accepted for JMP, 11pt, 23 pages

Scientific paper

10.1063/1.2821249

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.

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