Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

On the geometric structure of classical field theory in Lagrangian formulation

Jędrzej Śniatyckia1

a1 Department of Applied Mathematics and Computing Science, The University of Sheffeld, Sheffeld

Abstract

Geometric structure of classical field theory in Lagrangian formulation is investigated. Symmetry transformations with generators depending on higher-order derivatives are considered and the corresponding conservation laws are obtained.

(Received June 03 1969)

Correspondence:

p1 Present address: Department of Mathematics, Statistics and Computing Science, The University of Calgary, Calgary, Alberta, Canada,

Footnotes

† The substantial part of this work was completed when the author was at the Institute of Theoretical Physics, Warsaw University, Warsaw.