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math.AP2011
Curvatures of Sobolev metrics on diffeomorphism groups
Boris Khesin, Jonatan Lenells, Gerard Misiolek +1
Many conservative partial differential equations correspond to geodesic equations on groups of diffeomorphisms. Stability of their solutions can be studied by examining sectional c…
math.DG2011★ 4 cited
Geometry of diffeomorphism groups, complete integrability and optimal transport
Boris Khesin, Jonatan Lenells, Gerard Misiolek +1
We study the geometry of the space of densities $\VolM$, which is the quotient space $\Diff(M)/\Diff_μ(M)$ of the diffeomorphism group of a compact manifold by the subgroup of…