| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606097 | Differential Geometry and its Applications | 2012 | 11 Pages |
Abstract
The method of equivariant moving frames is used to obtain the equations governing the evolution of the differential invariants of an invariant affine symplectic curve flow in R4R4 preserving arc length. Conditions guaranteeing that a geometric curve flow produces Hamiltonian evolution equations are obtained. Finally, we show that a constant tangential curve flow produces bi-Hamiltonian evolution equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Francis Valiquette,