Skip Navigation


IMA Journal of Mathematical Control and Information Advance Access originally published online on November 17, 2005
IMA Journal of Mathematical Control and Information 2006 23(4):463-473; doi:10.1093/imamci/dni069
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
23/4/463    most recent
dni069v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (1)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Noakes, L.
Right arrow Articles by Popiel, T.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Quadratures and cubics in SO(3) and SO(1,2)

Lyle Noakes** and Tomasz Popiel***

School of Mathematics and Statistics, University of Western Australia, Crawley, Western Australia 6009, Australia

** Email: lyle{at}maths.uwa.edu.au

*** Email: popiet01{at}maths.uwa.edu.au

We solve a class of first-order differential equations on SO(3) and SO(1,2) by quadratures. We then consider applications to variational curves, namely, Riemannian cubics, Riemannian cubics in tension, and elastica.

Keywords: Riemannian cubic; Riemannian cubic in tension; elastic curve; elastica; Lax equation; quadrature.

Received on 30 November 2004.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.