J. Rataj

activity

20092021

most citedOn Volume and Surface Area of Parallel Sets

46 citations · 149 across the 14 of their papers we have counts for

collaborators

Showing 2009 · math.MGShow all

2 papers · 2 filters

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…