Vol. 116, No. 2, 1985

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Reducing the order of the Lagrangean for a classical field in curved space-time

Richard Arens

Vol. 116 (1985), No. 2, 209–216
Abstract

We show how the Lagrangean L can be replaced by another, L, having the same extremals, but having only first order derivatives and being in fact a first degree polynomial in these derivatives.

Mathematical Subject Classification 2000
Primary: 58E30
Secondary: 58A20, 81E20, 70G50
Milestones
Received: 17 June 1983
Published: 1 February 1985
Authors
Richard Arens