Submanifolds of class $C^{1,\alpha }$ and sets with positive $\mu$-reach

Vincent Borrelli, Jean-Baptiste Follet, Boris Thibert

It is well-known since the seminal work of Herbert Federer [Trans. of the AMS, 1959] that submanifolds of class $C^{1,1}$ have positive reach. In this paper, we extend this propert…