Geodesic
Weighted nonlinear flag manifolds as coadjoint orbits
Canadian journal of mathematics, Tome 76 (2024) no. 5, pp. 1664-1694

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A weighted nonlinear flag is a nested set of closed submanifolds, each submanifold endowed with a volume density. We study the geometry of Fréchet manifolds of weighted nonlinear flags, in this way generalizing the weighted nonlinear Grassmannians. When the ambient manifold is symplectic, we use these nonlinear flags to describe a class of coadjoint orbits of the group of Hamiltonian diffeomorphisms, orbits that consist of weighted isotropic nonlinear flags.
DOI : 10.4153/S0008414X23000585
Mots-clés : Weighted nonlinear flag, coadjoint orbit, Hamiltonian group, moment map, manifold of mappings 
Haller, Stefan; Vizman, Cornelia. Weighted nonlinear flag manifolds as coadjoint orbits. Canadian journal of mathematics, Tome 76 (2024) no. 5, pp. 1664-1694. doi: 10.4153/S0008414X23000585
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     title = {Weighted nonlinear flag manifolds as coadjoint orbits},
     journal = {Canadian journal of mathematics},
     pages = {1664--1694},
     year = {2024},
     volume = {76},
     number = {5},
     doi = {10.4153/S0008414X23000585},
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