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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.DG2020
Reflexion maps and geometry of surfaces in R^4
Peter Giblin, Stanislaw Janeczko, Maria Aparecida Soares Ruas
In this article we introduce new affinely invariant points---`special parabolic points'---on the parabolic set of a generic surface in real 4-space, associated with symmetries…