Sobolev Metrics on Shape Space of Hypersurfaces in N-space

This paper extends parts of the results from [10] for plane curves to the case of hypersurfaces in R. Let M be a compact connected oriented n − 1 dimensional manifold without boundary. Then shape space is either the manifold of submanifolds of R of type M , or the orbifold of immersions from M to R modulo the group of diffeomorphisms of M . We investigate… CONTINUE READING