Manifestly dynamic forms in the Cartan-Hamilton treatment of classical fields

Richard Arens

Vol. 93 (1981), No. 1, 13–30

DOI: 10.2140/pjm.1981.93.13

Abstract

Our intent is to show that certain differential forms, which are manifestly closed on the motions of a classical field system, are Hamiltonic in the sense of generating a canonical vector field, or are equivalent to Hamiltonic forms.

Mathematical Subject Classification 2000

Primary: 49F05, 49F05

Secondary: 58F05, 70H05

Milestones

Received: 12 January 1979

Revised: 27 September 1980

Published: 1 March 1981