2010/05/31 by Cedric M. Campos, Cédric M Campos, Manuel de León +3 · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Calculus (dental) #Calculus of variations #Differential (mechanical device) #Differential calculus #Field (mathematics) #Generalization #Homotopy and Cohomology in Algebraic Topology #Nonlinear Partial Differential Equations #Optimal control #Order (exchange) #math-ph #math.MP #msc:53C80 #msc:55R10 #msc:70H50 #msc:70S05
paper · pdf · doi:10.1088/1751-8113/43/45/455206
published in Journal of Physics A Mathematical and Theoretical 43(45), 455206 (Institute of Physics) · 25 pages; 4 diagrams
arxiv created 2010/09/09 · openalex publication_date 2010/10/22 · arxiv updated 2015/05/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We develop an intrinsic geometrical setting for higher order constrained field theories. As a main tool we use an appropriate generalization of the classical Skinner-Rusk formalism. Some examples of application are studied, in particular, applications to the geometrical description of optimal control theory for partial differential equations.