2002/02/07 by Manuel de León, Juan Carlos Marrero, de Leon, M. +3
Computer Science · Mathematics · #58A20 #70S05 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.math-ph/0202012
openalex publication_date 2002/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new geometrical setting for classical field theories is introduced. This description is strongly inspired in the one due to Skinner and Rusk for singular lagrangians systems. For a singular field theory a constraint algorithm is developed that gives a final constraint submanifold where a well-defined dynamics exists. The main advantage of this algorithm is that the second order condition is automatically included.