32 citations · 135 across the 28 of their papers we have counts for
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math.AP2023
Liouville comparison theory for blowup of Euler-Arnold equations
Martin Bauer, Stephen C. Preston, Justin Valletta
In this article we introduce a new blowup criterion for (generalized) Euler-Arnold equations on . Our method is based on treating the equation in Lagrangian coordinate…
math.DG2023
Conjugate points along Kolmogorov flows on the torus
Alice Le Brigant, Stephen C. Preston
The geodesics in the group of volume-preserving diffeomorphisms (volumorphisms) of a manifold , for a Riemannian metric defined by the kinetic energy, can be used to model the m…
math.DG2023
3 methods to put a Riemannian metric on Shape Space
Alice Barbora Tumpach, Stephen C. Preston
In many applications, one is interested in the shape of an object, like the contour of a bone or the trajectory of joints of a tennis player, irrespective of the way these shapes a…