Ady Cambraia Junior

activity

20172025

collaborators

3 papers

math.DG2025

Some results on evolutoids of convex curves in $2$ -dimensional space forms

Ady Cambraia Junior, Alessandro Gaio Chimenton, Marco Antônio do Couto Fernandes +1

Let $M_{c}$ be a $2$ -dimensional space form of constant curvature $c = - 1, 0, 1$ and $γ$ a smooth, closed, convex curve in $M_{c}$ . We explicitly parametrize the \textit{ $α$ -evolutoid} of…

math.DG2019

On evolutoids of regular surfaces in Euclidean 3-space

Ady Cambraia Junior, Abilio Lemos, Mostafa Salarinoghabi

Inspired by the concept of evolutoids of planar curves, we present the concept of evolutoids for regular surfaces as an envelope of a two-parameter family of lines in Euclidean 3-s…

math.DG2017

Evolving Affine Evolutoids

Ady Cambraia Junior, Abílio Lemos

The envelope of straight lines affine normal to a plane curve C is its affine evolute; the envelope of the affine lines tangent to C is the original curve, together with the entire…

Some results on evolutoids of convex curves in 2-dimensional space forms

On evolutoids of regular surfaces in Euclidean 3-space

Evolving Affine Evolutoids

Some results on evolutoids of convex curves in $2$ -dimensional space forms