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20102024
most citedGeometric dynamics on the automorphism group of principal bundles: geodesic flows, dual pairs and chromomorphism groups

14 citations · 14 across the 3 of their papers we have counts for

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math.SG2016

Isotropic submanifolds and coadjoint orbits of the Hamiltonian group

François Gay-Balmaz, Cornelia Vizman

We describe a class of coadjoint orbits of the group of Hamiltonian diffeomorphisms of a symplectic manifold by implementing symplectic reduction for the dual pair associat…

math.SG2010★ 14 cited

Geometric dynamics on the automorphism group of principal bundles: geodesic flows, dual pairs and chromomorphism groups

François Gay-Balmaz, Cesare Tronci, Cornelia Vizman

We formulate Euler-Poincaré equations on the Lie group Aut(P) of automorphisms of a principal bundle P. The corresponding flows are referred to as EPAut flows. We mainly focus on g…