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math.DG2025★ 1 cited
Characterization of geodesic completeness for landmark space
Karen Habermann, Stephen C. Preston, Stefan Sommer
We provide a full characterization of geodesic completeness for spaces of configurations of landmarks with smooth Riemannian metrics that satisfy a rotational and translation invar…
math.DG2020★ 3 cited
Cartan connections for stochastic developments on sub-Riemannian manifolds
Ivan Beschastnyi, Karen Habermann, Alexandr Medvedev
Analogous to the characterisation of Brownian motion on a Riemannian manifold as the development of Brownian motion on a Euclidean space, we construct sub-Riemannian diffusions on…