33 citations · 65 across the 17 of their papers we have counts for
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math.SG2011★ 1 cited
Dynamics of symplectic fluids and point vortices
Boris Khesin
We present the Hamiltonian formalism for the Euler equation of symplectic fluids, introduce symplectic vorticity, and study related invariants. In particular, this allows one to ex…
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…