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math.DG2017
Sobolev Geometry of the Symplectomorphism Group
James Benn, Ali Suri
For a closed symplectic manifold with compatible Riemannian metric we study the Sobolev geometry of the group of all diffeomorphisms on which preserve t…
math.NA2017★ 5 cited
Currents and finite elements as tools for shape space
James Benn, Stephen Marsland, Robert I McLachlan +2
The nonlinear spaces of shapes (unparameterized immersed curves or submanifolds) are of interest for many applications in image analysis, such as the identification of shapes that…