Derivatives of Sub-Riemannian Geodesics are $L_p$-Hölder Continuous

Lev Lokutsievskiy, Mikhail Zelikin

This article is devoted to the long-standing problem on the smoothness of sub-Riemannian geodesics. We prove that the derivatives of sub-Riemannian geodesics are always $L_p$-Hölde…