2000/06/09 by G. Giachetta, Giachetta, G., L. Mangiarotti +3
Mathematics · Physics and Astronomy · #55N30 #58A20 #58E30 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.DG #math.MP #msc:55N30 #msc:58A20 #msc:58E30
paper · pdf · doi:10.48550/arxiv.math/0006074
18 pages
arxiv created 2000/06/09 · openalex publication_date 2000/06/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We obtain the cohomology of the variational bicomplex on the infinite order jet space of a smooth fiber bundle in the class of exterior forms of finite jet order. This provides a solution of the global inverse problem of the calculus of variations of finite order on fiber bundles.