Math: An optimal route on a sub-Riemannian manifold does not make sharp turns
https://www.sciencedaily.com/releases/2019/08/190802104522.htm
Sub-Riemannian geometry has application in robotics in the control of mechanical systems. For such control systems, the lack of sharp turns is helpful.
"Usually a practical mechanism cannot suddenly change its directions, but instead requires some transition period," remarks Hakavuori.