L. Zajícek

activity

20062026

most citedOn the structure of sets with positive reach

25 citations · 46 across the 18 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math.MG2009★ 8 cited

Critical values and level sets of distance functions in Riemannian, Alexandrov and Minkowski spaces

Jan Rataj, Ludek Zajicek

Let $F \subset R^{n}$ be a closed set and $n = 2$ or $n = 3$ . S. Ferry (1975) proved that then, for almost all $r > 0$ , the level set (distance sphere, $r$ -boundary) $S_r(F):= \{x \in \R^…

math.MG2009★ 1 cited

Properties of distance functions on convex surfaces and applications

Jan Rataj, Ludek Zajicek

If $X$ is a convex surface in a Euclidean space, then the squared intrinsic distance function $\dist^2(x,y)$ is DC (d.c., delta-convex) on $X \times X$ in the only natural extrinsic…