3 citations · 3 across the 2 of their papers we have counts for
4 papers
Finite-gap Solutions of the Vortex Filament Equation, I
Annalisa Calini, Thomas Ivey
For the class of quasi-periodic solutions of the vortex filament equation, we study connections between the algebro-geometric data used for their explicit construction and the geom…
Parametric Backlund transformations I: Phenomenology
Jeanne N. Clelland, Thomas A. Ivey
We begin an exploration of parametric Backlund transformations for hyperbolic Monge-Ampere systems. We compute invariants for such transformations and explore the behavior of four…
An Inverse Problem from Sub-Riemannian Geometry
Thomas A. Ivey
The geodesics for a sub-Riemannian metric on a three-dimensional contact manifold form a 1-parameter family of curves along each contact direction. However, a collection of suc…
Knot types, homotopies and stability of closed elastic rods
Thomas A. Ivey, David A. Singer
The energy minimization problem associated to uniform, isotropic, linearly elastic rods leads to a geometric variational problem for the rod centerline, whose solutions include clo…