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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…