Geometric structures on the tangent bundle of the Einstein spacetime

2005/08/24 by Josef Janyška, Janyška, Josef
Mathematics · Physics and Astronomy · #53B15 #53B30 #53D05 #53D17 #58A10 #58A20 #58A32 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53B15 #msc:53B30 #msc:53D05 #msc:53D17 #msc:58A10 #msc:58A20 #msc:58A32

paper · pdf · doi:10.48550/arxiv.math/0508449

arxiv created 2005/08/24 · openalex publication_date 2005/08/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein spacetime.

Related

• Fibre bundles, connections, general relativity, and Einstein-Cartan theory
• All spacetimes beyond Einstein (Obergurgl Lectures)
• Symplectic structures and globally hyperbolic spacetimes
• Connections and Frame Bundle Reductions
• Riemannian manifolds with geometric structures