Landmark manifolds consist of distinct points that are often used to describe shapes, such as immersed submanifolds. We show that in the Euclidean space, we can preselect two vector fields such that their flows will be able to take any n-landmark to another, regardless of the number of points n.

The talk will present the underlying ideas from differential geometry, making it accessible to a general mathematical audience. This is a joint work with Erlend Grong.