A symplectic framework for field theories

Jerzy Kijowski, Włodzimierz M. Tulczyjew

Publication date: 1979

Published in: Lecture Notes in Physics (Search for Journal in Brave)

symplectic geometry variational principle Lagrangian submanifolds classical mechanics and field theory energy-momentum densities gravitatinal field Hamiltonian-, Lagrangian-systems laws of motion in Newtonian mechanics one- parameter families of canonical transformations and generating functions particle and field dynamics

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Applications of global differential geometry to the sciences (53C80) Kaluza-Klein and other higher-dimensional theories (83E15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Hamiltonian and Lagrangian mechanics (70Hxx)

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