370 citations
- University of Colorado BoulderUS34 papers
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- University of Wisconsin–MadisonUS7 papers
- University of VirginiaUS6 papers
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math.DG2014
The Geometry of Axisymmetric Ideal Fluid Flows with Swirl
Pearce Washabaugh, Stephen C. Preston
The sectional curvature of the volume preserving diffeomorphism group of a Riemannian manifold can give information about the stability of inviscid, incompressible fluid flows…
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.DG2010
Morse theory for the space of Higgs G-bundles
Indranil Biswas, Graeme Wilkin
Fix a principal --bundle on a compact connected Riemann surface , where is a connected complex reductive linear algebraic group. We consider the gradie…