1 research outputs found
On the characterization of some classes of proximally smooth sets
We provide a complete characterization of closed sets with empty interior and
positive reach in . As a consequence, we characterize open
bounded domains in whose high ridge and cut locus agree, and
hence planar domains whose normal distance to the cut locus is constant
along the boundary. The latter results extends to convex domains in
.Comment: 19 pages, 3 figure