32 citations · 135 across the 28 of their papers we have counts for
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math.DG2013★ 5 cited
Riemannian geometry on the quantomorphism group
David G. Ebin, Stephen C. Preston
We are interested in the geometry of the group of diffeomorphisms preserving a contact form on a manifold . We define a Riemannian metric on $\mathcal{D}_…
math.DG2013★ 3 cited
The geometry of barotropic flow
Stephen C. Preston
In this article we write the equations of barotropic compressible fluid mechanics as a geodesic equation on an infinite-dimensional manifold. The equations are given by \begin{alig…