2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/200539Nonholonomic distributions and adapted fame 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.latex 2e, 11pt, 15 pages, v4 accepted by Phys. Lett. AGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical PhysicsSymplectic Geometrytext