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- Publisher
- Springer Journals
- Copyright
- Copyright © 2010 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Dynamical Systems and Ergodic Theory
- ISSN
- 1560-3547
- eISSN
- 1468-4845
- DOI
- 10.1134/S156035471004009X
- Publisher site
- See Article on Publisher Site
Abstract
We apply the equivariant method of moving frames to investigate the existence of Poisson structures for geometric curve flows in semi-simple homogeneous spaces. We derive explicit compatibility conditions that ensure that a geometric flow induces a Hamiltonian evolution of the associated differential invariants. Our results are illustrated by several examples of geometric interest.
Journal
Regular and Chaotic Dynamics – Springer Journals
Published: Aug 6, 2010