On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds

M. Jimenez-Sevilla, L. Sanchez-Gonzalez

Let us consider a Riemannian manifold $M$ (either separable or non-separable). We prove that, for every $\epsilon >0$, every Lipschitz function $f:M\to \mathbb{R}$ can be uniformly a…