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Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces
Sergiu I. Vacaru, 2007.07.11
http://arxiv.org/abs/0707.1519
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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