Lipschitz-Free Spaces over Manifolds and the Metric Approximation Property

Richard J. Smith, Filip Talimdjioski

Let $\Vert \cdot \Vert$ be a norm on ${\mathbb{R}}^N$ and let $M$ be a closed $C^1$-submanifold of ${\mathbb{R}}^N$. Consider the pointed metric space $(M,d)$, where $d$ is the metric given by…