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math.DG2001
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…
math.DG1999
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…