arXiv · 2401.03417
Regularity of the geodesic flow on submanifolds
Abstract
We show that the geodesic flow and the exponential map of a $C^k$ submanifold of $\mathbb{R}^n$ with $k\geq 2$ are of class $C^{k-1}$.
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Christian Lange. 2024-01-07. Regularity of the geodesic flow on submanifolds. https://arxiv.org/abs/2401.03417
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