2019/12/23 by Marco Castrillón López, Marco Castrillon Lopez, Lopez, Marco Castrillon +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.DG #math.DS
paper · pdf · doi:10.48550/arxiv.1912.10763
35 pages
arxiv created 2019/12/23 · openalex publication_date 2019/12/23 · arxiv updated 2019/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We complete the reduction scheme in the whole LP category, introduced in [7] to perform Lagrangian reduction by stages. We answer affirmatively the open question of whether reduction can be done in the whole category and analyze the Noether theorem on LP-bundles, the relationship with Hamiltonian reduction by stages and the geometric aspects of the definition of this category.