Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894751 | Journal of Geometry and Physics | 2015 | 11 Pages |
Abstract
A Lie algebra structure on variation vector fields along an immersed curve in a 2-dimensional real space form is investigated. This Lie algebra particularized to plane curves is the cornerstone in order to define a Hamiltonian structure for plane curve motions. The Hamiltonian form and the integrability of the planar filament equation are finally discussed from this point of view.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
José del Amor, Ángel Giménez, Pascual Lucas,