GEOMETRIC STRUCTURES OF THE CLASSICAL GENERAL RELATIVISTIC PHASE SPACE

DOI10.1142/S021988780800303XzbMath1160.53008arXiv0801.1735OpenAlexW3104804047MaRDI QIDQ3542811

Josef Janyška, Marco Modugno

Publication date: 1 December 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1735

zbMATH Keywords

Poisson structurephase spacesymplectic structureSchouten bracketspace-timeJacobi structureFrölicher-Nijenhuis bracketspace-time connectionphase connection

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Jets in global analysis (58A20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential forms in global analysis (58A10) Other connections (53B15) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Natural bundles (58A32)

Related Items (6)

Remarks on infinitesimal symmetries of geometrical structures of the classical phase space of general relativistic test particle ⋮ Special bracket versus Jacobi bracket on the classical phase space of general relativistic test particle ⋮ On the geometry of the energy operator in quantum mechanics ⋮ Quantum potential in covariant quantum mechanics ⋮ Minimal coupling of gravitational and electromagnetic fields in General Relativity ⋮ Generalized geometrical structures of odd dimensional manifolds

Cites Work

• A universal model for cosymplectic manifolds
• HERMITIAN VECTOR FIELDS AND SPECIAL PHASE FUNCTIONS

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