10 citations · 10 across the 4 of their papers we have counts for
4 papers
Manifolds of vortex loops as coadjoint orbits
Ioana Ciuclea, Cornelia Vizman
We study a class of coadjoint orbits of the area preserving diffeomorphism group of the plane consisting of vortex loops, namely closed curves in the plane decorated with one-forms…
Metric degeneracies and gradient flows on symplectic leaves
Zohreh Ravanpak, Cornelia Vizman
For a Poisson manifold endowed with a pseudo-Riemannian metric, we investigate degeneracies arising when the metric is restricted to symplectic leaves. Central to this work is the…
Nonlinear Grassmannians: plain, decorated, augmented
Stefan Haller, Cornelia Vizman
Decorated and augmented nonlinear Grassmannians can be used to parametrize coadjoint orbits of classical diffeomorphism groups. We provide a general framework for decoration and au…
-transitivity of certain diffeomorphism groups
Peter W. Michor, Cornelia Vizman
Some groups of real analytic diffeomorphism act n-transitively for each finite n.