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VOL. 14 | 2013 Multiparameter Contact Transformations
Bogdana Georgieva

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Abstract

This is a review of multiparameter families of contact transformations and their relationship with the generalized Hamiltonian system. We derive the integrability conditions for the generalized Hamiltonian system and show that when they are satisfied the solutions to this system determine a family of multiparameter contact transformations of the initial conditions. We prove a necessary and sufficient condition for a multiparameter family of contact transformations to be a group and a characterization of the function which describes the group multiplication rule.

Information

Published: 1 January 2013
First available in Project Euclid: 13 July 2015

zbMATH: 1382.70015
MathSciNet: MR3183932

Digital Object Identifier: 10.7546/giq-14-2013-87-102

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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