32 citations · 135 across the 28 of their papers we have counts for
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math.DG2011★ 1 cited
The geometry of whips
Stephen C. Preston
In this paper we study geometric aspects of the space of arcs parametrized by unit speed in the metric. Physically this corresponds to the motion of a whip, and it also arise…
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…