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math.DG2024
Controllability and diffeomorphism groups on manifolds with boundary
Erlend Grong, Alexander Schmeding
In this article we consider diffeomorphism groups of manifolds with smooth boundary. We show that the diffeomorphism groups of the manifold and its boundary fit into a short exact…
math.DG2024
Controllability on landmark manifolds for shapes and neural ODEs
Erlend Grong, Sylvie Vega-Molino
Landmark manifolds consist of a collection of distinct points, and dynamics on this manifold can be used to represent flows, such as solutions of ODEs and flows deforming a shape.…