3 papers
math.DG2021
Contact with circles and Euclidean invariants of smooth surfaces in R^3
Peter Giblin, Graham Reeve, Ricardo Uribe-Vargas
We investigate the vertex curve, that is the set of points in the hyperbolic region of a smooth surface in real 3-space at which there is a circle in the tangent plane having at le…
math.DG2020
Equidistants for families of surfaces
Peter Giblin, Graham Reeve
For a smooth surface in this article contains local study of certain affine equidistants, that is loci of points at a fixed ratio between points of contact of parall…
math.DG2019
Minkowski Symmetry Sets for 1-Parameter Families of Plane Curves
Graham Reeve
In this paper the generic bifurcations of the Minkowski symmetry set for 1-parameter families of plane curves are classified and the necessary and sufficient geometric criteria for…