2020/07/29 by Miguel Á. Berbel, Marco Castrillón López, Berbel, Miguel Á. +1
Physics and Astronomy · #58D19 #70S05 #70S10 #Astro and Planetary Science #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 58E15 #Secondary 37J37
paper · doi:10.48550/arxiv.2007.14854
openalex publication_date 2020/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a category of bundles in order to perform Lagrangian reduction by stages in covariant Field Theory. This category plays an analogous role to Lagrange-Poincaré bundles in Lagrangian reduction by stages in Mechanics and includes both jet bundles and reduced covariant configuration spaces. Furthermore, we analyze the resulting reconstruction condition and formulate the Noether theorem in this context. Finally, a model of a molecular strand with rotors is seen as an application of this theoretical frame.