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math.DG2003★ 10 cited
Riemannian geometries on spaces of plane curves
Peter W. Michor, David Mumford
We study some Riemannian metrics on the space of regular smooth curves in the plane, viewed as the orbit space of maps from to the plane modulo the group of diffeomorphisms o…
math.DG2003
Completing Lie algebra actions to Lie group actions
Franz W. Kamber, Peter W. Michor
For a finite dimensional Lie algebra $\g$ of vector fields on a manifold we show that can be completed to a -space in a unversal way, which however is neither Hausdorff…