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arXiv · 0707.1519

Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces

Sergiu I. Vacaru
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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.

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BibTeXRIS

Sergiu I. Vacaru. 2007-11-15. Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces. https://doi.org/10.1063/1.2821249

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