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math.DG2025
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…
math.DG2025
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…