On the level sets of a distance function in a Minkowski space
On the level sets of a distance function in a Minkowski space
Given a closed subset of an $n$-dimensional Minkowski space with a strictly convex or differentiable norm, then, for almost every $r > 0$, the $r$-level set (points whose distance from the closed set is $r$) contains an open subset which is an $n - 1$ dimensional Lipschitz manifold and whose …