Deformation quantization of nonholonomic almost Kahler models and Einstein gravity

Nonholonontic distributions and adapted frame structures on (pseudo) Riemannian manifolds of even dimension are employed to build structures equivalent to almost Kahler geometry and which allows to perform a Fedosov-like quantization of gravity. The nonlinear connection formalism that was formally elaborated for Lagrange and Finsler geometry is implemented in classical and quantum Einstein gravity. (c) 2008 Elsevier B.V. All rights reserved.