32 citations · 33 across the 2 of their papers we have counts for
3 papers
math.DG2008★ 32 cited
Geodesic Equations on Diffeomorphism Groups
Cornelia Vizman
We bring together those systems of hydrodynamical type that can be written as geodesic equations on diffeomorphism groups or on extensions of diffeomorphism groups with right invar…
math.DG2003★ 1 cited
Non-linear Grassmannians as coadjoint orbits
Stefan Haller, Cornelia Vizman
For a given manifold we consider the non-linear Grassmann manifold of -dimensional submanifolds in . A closed -form on gives rise to a closed 2-form…
math.DG2001
Geodesics and curvature of semidirect product groups
Cornelia Vizman
Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to…