Deformation Quantization of Nonholonomic Almost Kahler Models and Einstein Gravity

Abstract

Nonholonomic 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. A

References in corpus (3)

• Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces
• Finsler-Lagrange Geometries and Standard Theories in Physics: New Methods in Einstein and String Gravity
• Generalized Lagrange Transforms: Finsler Geometry Methods and Deformation Quantization of Gravity

Cited by in corpus (2)

• Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces
• Generalized Lagrange Transforms: Finsler Geometry Methods and Deformation Quantization of Gravity