Journal of Nonlinear Mathematical Physics

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Volume 11, Issue 4, November 2004, Pages 480 - 498

Lie Groups and Mechanics: An Introduction

Authors
Boris Kolev
Corresponding Author
Boris Kolev
Available Online 1 November 2004.
DOI
10.2991/jnmp.2004.11.4.5How to use a DOI?
Abstract

The aim of this paper is to present aspects of the use of Lie groups in mechanics. We start with the motion of the rigid body for which the main concepts are extracted. In a second part, we extend the theory for an arbitrary Lie group and in a third section we apply these methods for the diffeomorphism group of the circle with two particular examples: the Burger equation and the Camassa-Holm equation.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 4
Pages
480 - 498
Publication Date
2004/11/01
ISBN
91-974824-1-2
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.4.5How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Boris Kolev
PY  - 2004
DA  - 2004/11/01
TI  - Lie Groups and Mechanics: An Introduction
JO  - Journal of Nonlinear Mathematical Physics
SP  - 480
EP  - 498
VL  - 11
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.4.5
DO  - 10.2991/jnmp.2004.11.4.5
ID  - Kolev2004
ER  -