Sobolev metrics on shape space of surfaces

Let M and N be connected manifolds without boundary with dim(M) < dim(N), and let M compact. Then shape space in this work is either the manifold of submanifolds of N that are diffeomorphic to M , or the orbifold of unparametrized immersions of M in N . We investigate the Sobolev Riemannian metrics on shape space: These are induced by metrics of the… CONTINUE READING

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