Clifford-Finsler algebroids and nonholonomic Einstein–Dirac structures

DOI10.1063/1.2339016zbMath1112.53068arXivhep-th/0501217OpenAlexW2010136739MaRDI QIDQ3442042

Sergiu I. Vacaru

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0501217

Mathematics Subject Classification ID

Symplectic geometry, contact geometry (53D99) Pseudogroups and differentiable groupoids (58H05)

Related Items

ON (2+2)-DIMENSIONAL SPACE–TIMES, STRINGS AND BLACK HOLES ⋮ Berwald-type and Yano-type connections on Lie algebroids ⋮ Killing sections and sigma models with Lie algebroid targets ⋮ Weyl’s theory in the generalized Lie algebroids framework ⋮ Almost Kähler Ricci flows and Einstein and Lagrange-Finsler structures on Lie algebroids ⋮ FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY ⋮ Study on geometric structures on Lie algebroids with optimal control applications ⋮ Nonholonomic algebroids, Finsler geometry, and Lagrange-Hamilton spaces ⋮ Finsler geometry as a model for relativistic gravity ⋮ Deformation quantization of almost Kähler models and Lagrange-Finsler spaces ⋮ Fractional dynamics from Einstein gravity, general solutions, and black holes ⋮ Spectral functionals, nonholonomic Dirac operators, and noncommutative Ricci flows ⋮ BRANES AND QUANTIZATION FOR AN A-MODEL COMPLEXIFICATION OF EINSTEIN GRAVITY IN ALMOST KÄHLER VARIABLES ⋮ (Pseudo) generalized Kaluza–Klein G-spaces and Einstein equations ⋮ The Euclidean gravitational action as black hole entropy, singularities, and spacetime voids ⋮ Nonholonomic Ricci flows. II. Evolution equations and dynamics ⋮ CLIFFORD SPACE GRAVITATIONAL FIELD EQUATIONS AND DARK ENERGY

Cites Work

• Unnamed Item
• Unnamed Item
• Spinors and field interactions in higher order anisotropic spaces
• Gauge and Einstein gravity from non-abelian gauge models on noncommutative spaces
• Nonlinear connections and spinor geometry
• Lagrange–Fedosov nonholonomic manifolds
• Exact solutions with noncommutative symmetries in Einstein and gauge gravity
• Dirac spinor waves and solitons in anisotropic Taub-NUT spaces
• Spinor connections in general relativity
• Spinor structures and nonlinear connections in vector bundles, generalized Lagrange and Finsler spaces
• Lagrange geometry
• Lagrangian mechanics on Lie algebroids
• Anholonomic frames, generalized Killing equations, and anisotropic Taub-NUT spinning spaces