Lagrange–Fedosov nonholonomic manifolds

DOI10.1063/1.1855402zbMath1067.53075arXivmath/0407495OpenAlexW1996959677MaRDI QIDQ3024249

Rafael Santamaría, Sergiu I. Vacaru, Fernando Etayo Gordejuela

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0407495

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items

Clifford-Finsler algebroids and nonholonomic Einstein–Dirac structures, PARAMETRIC NONHOLONOMIC FRAME TRANSFORMS AND EXACT SOLUTIONS IN GRAVITY, FINSLER AND LAGRANGE GEOMETRIES IN EINSTEIN AND STRING GRAVITY, Deformation quantization of nonholonomic almost Kähler models and Einstein gravity, Nonholonomic algebroids, Finsler geometry, and Lagrange-Hamilton spaces, Deformation quantization of almost Kähler models and Lagrange-Finsler spaces, The algebraic index theorem and deformation quantization of Lagrange-Finsler and Einstein spaces, Einstein gravity in almost Kähler and Lagrange-Finsler variables and deformation quantization, Spectral functionals, nonholonomic Dirac operators, and noncommutative Ricci flows, Curve flows in Lagrange-Finsler geometry, bi-Hamiltonian structures and solitons, Fedosov quantization of Lagrange–Finsler and Hamilton–Cartan spaces and Einstein gravity lifts on (co) tangent bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Affine Zusammenhänge auf Mannigfaltigkeiten mit fastsymplektischer Struktur
• Existence of star-products on exact symplectic manifolds
• Symplectic curvatue tensors
• Fedosov manifolds
• Superstrings in higher order extensions of Finsler superspaces
• Gauge and Einstein gravity from non-abelian gauge models on noncommutative spaces
• On the geometry of Riemannian manifolds with a Lie structure at infinity
• Locally anisotropic structures and nonlinear connections in Einstein and gauge gravity
• \(\mathcal W\) geometry from Fedosov's deformation quantization
• Sur le problème d'équivalence de certaines structures infinitésimales
• Generalized Bianchi identities for horizontal distributions
• The Debye system: existence and large time behavior of solutions
• On almost-Poisson structures in nonholonomic mechanics: II. The time-dependent framework
• Warped, anisotropic wormhole/soliton configurations in vacuum 5D gravity
• On Einstein Equations on Manifolds and Supermanifolds
• Spinor structures and nonlinear connections in vector bundles, generalized Lagrange and Finsler spaces
• A Kind of Even-Dimensional Differential Geometry and Its Application to Exterior Calculus
• Lagrange geometry
• Locally anisotropic kinetic processes and thermodynamics in curved spaces.
• Anholonomic frames, generalized Killing equations, and anisotropic Taub-NUT spinning spaces