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math.DG2018
A rigidity theorem for ideal surfaces with flat boundary
James McCoy, Glen Wheeler
We consider surfaces with boundary satisfying a sixth order nonlinear elliptic partial differential equation corresponding to extremising the -norm of the gradient of the mean…
math.DG2018★ 14 cited
Closed ideal planar curves
Ben Andrews, James McCoy, Glen Wheeler +1
In this paper we use a gradient flow to deform closed planar curves to curves with least variation of geodesic curvature in the sense. Given a smooth initial curve we show th…