68 citations · 572 across the 30 of their papers we have counts for
10 papers · 1 filter
Fedosov Quantization of Lagrange-Finsler and Hamilton-Cartan Spaces and Einstein Gravity Lifts on (Co) Tangent Bundles
Mihai Anastasiei, Sergiu I. Vacaru
We provide a method of converting Lagrange and Finsler spaces and their Legendre transforms to Hamilton and Cartan spaces into almost Kaehler structures on tangent and cotangent bu…
Deformation Quantization of Nonholonomic Almost Kahler Models and Einstein Gravity
Sergiu I. Vacaru
Nonholonomic distributions and adapted fame structures on (pseudo) Riemannian manifolds of even dimension are employed to build structures equivalent to almost Kahler geometry and…
Generalized Lagrange Transforms: Finsler Geometry Methods and Deformation Quantization of Gravity
Sergiu I. Vacaru
We propose a natural Fedosov type quantization of generalized Lagrange models and gravity theories with metrics lifted on tangent bundle, or extended to higher dimension, following…
Finsler-Lagrange Geometries and Standard Theories in Physics: New Methods in Einstein and String Gravity
Sergiu I. Vacaru
In this article, we review the current status of Finsler-Lagrange geometry and generalizations. The goal is to aid non-experts on Finsler spaces, but physicists and geometers skill…
Deformation Quantization of Almost Kahler Models and Lagrange-Finsler Spaces
Sergiu I. Vacaru
Finsler and Lagrange spaces can be equivalently represented as almost Kahler manifolds enabled with a metric compatible canonical distinguished connection structure generalizing th…
Nonholonomic Ricci Flows and Parametric Deformations of the Solitonic pp--Waves and Schwarzschild Solutions
Sergiu I. Vacaru
We study Ricci flows of some classes of physically valuable solutions in Einstein and string gravity. The anholonomic frame method is applied for generic off-diagonal metric ansatz…