Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893951 | Journal of Geometry and Physics | 2006 | 32 Pages |
Abstract
Invariantizing the formal symmetry condition for curve evolutions yield a syzygy between different evolution invariants. We prove that the condition for two curvature evolutions to commute appears as a differential consequence of this syzygy. This implies that integrability of the curvature evolution lifts to integrability of the curve evolution, whenever the kernel of a particular differential operator is empty. We exhibit various examples to illustrate the theorem; the calculations involved in verifying the result are substantial.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Elizabeth L. Mansfield, Peter H. van der Kamp,