nLab variational calculus - contents

variational calculus

Differential geometric version

• variational bicomplex

• local Lagrangian, local action functional

  • Euler-Lagrange form, source form

  • Lepage form

• principle of extremal action, Euler-Lagrange equations, de Donder-Weyl formalism

• covariant phase space

• Noether's theorem

  • conserved current, charge

  • symmetry

Derived differential geometric version

• BV-BRST complex

• D-module