2 papers
math.MG2023
Geodesics on Regular Constant Distance Surfaces
J. J. P. Veerman
Suppose that the surfaces K0 and Kr are the boundaries of two convex, complete, connected C^2 bodies in R^3. Assume further that the (Euclidean) distance between any point x in Kr…
math.DG2014
Regularity of Mediatrices in Surfaces
Pilar Herreros, Mario Ponce, J. J. P Veerman
For distinct points and in a two-dimensional Riemannian manifold, one defines their mediatrix as the set of equidistant points to and . It is known that med…