Christian Lange

collaborators

2 papers

math.DG2024

Regularity of the geodesic flow on submanifolds

Christian Lange

We show that the geodesic flow and the exponential map of a $C^{k}$ submanifold of $R^{n}$ with $k \geq 2$ are of class $C^{k - 1}$ .

math.DG2023

Orbifolds and manifold quotients with upper curvature bounds

Christian Lange

We characterize Riemannian orbifolds with an upper curvature bound in the Alexandrov sense as reflectofolds, i.e. Riemannian orbifolds all of whose local groups are generated by re…