English

Deformation Quantization of Nonholonomic Almost Kahler Models and Einstein Gravity

General Relativity and Quantum Cosmology 2008-11-26 v4 High Energy Physics - Theory Mathematical Physics math.MP Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.0707.1667,
  title  = {Deformation Quantization of Nonholonomic Almost Kahler Models and Einstein Gravity},
  author = {Sergiu I. Vacaru},
  journal= {arXiv preprint arXiv:0707.1667},
  year   = {2008}
}

Comments

latex 2e, 11pt, 15 pages, v4 accepted by Phys. Lett. A

R2 v1 2026-06-21T08:57:20.005Z