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math.DG2026
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…
math.DG2023
Shape spaces of nonlinear flags
Ioana Ciuclea, Alice Barbara Tumpach, Cornelia Vizman
The gauge invariant elastic metric on the shape space of surfaces involves the mean curvature and the normal deformation, i.e. the sum and the difference of the principal curvature…