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VOL. 12 | 2011 The Variational Principle of Hergloz and Related Results
Bogdana Georgieva

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka


This is a review of the variational principle proposed by Gustav Hergotz and resent results related to it. In that variational principle the functional is defined by a certain differential equation instead of an integral. The solutions of the equations for the extrema of the functional determine contact transformations. Some of those results are: two Noether-type theorems for finding conserved quantities and identities, a method for calculating symmetry groups of the functional and several applications.


Published: 1 January 2011
First available in Project Euclid: 13 July 2015

zbMATH: 1382.70020
MathSciNet: MR3087984

Digital Object Identifier: 10.7546/giq-12-2011-214-225

Rights: Copyright © 2011 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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