49 citations · 69 across the 7 of their papers we have counts for
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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…
math.DG2003
Homology and modular classes of Lie algebroids
Janusz Grabowski, Giuseppe Marmo, Peter W. Michor
For a Lie algebroid, divergences chosen in a classical way lead to a uniquely defined homology theory. They define also, in a natural way, modular classes of certain Lie algebroid…