Lagrangian formalism and the intrinsic geometry of PDEs

Abstract

A notion of internal Lagrangian for a system of differential equations is introduced. A spectral sequence related to internal Lagrangians is obtained. A connection between internal Lagrangians and presymplectic structures is investigated. An interpretation of the term $E_2^{3,n-2}$ of Vinogradov's $\mathcal{C}$-spectral sequence is given for irreducible gauge theories.

arXiv comment15 pages

References in corpus (2)

• Presymplectic structures and intrinsic Lagrangians for massive fields
• Presymplectic current and the inverse problem of the calculus of variations

Cited by in corpus (1)

• Internal Lagrangians of PDEs as variational principles