M. A. C. Fernandes

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.DG2025

On vertices and inflections of singular plane curves

James William Bruce, Marco Antônio do Couto Fernandes, Farid Tari

Given the germ of a smooth plane curve $({f (x, y) = 0}, 0) \subset (K^{2}, 0), K = R, C$ , with an isolated singularity, we define two invariants $I_{f}$ a…

math.DG2025

Geometric deformations of implicit curves

Marco Antônio do Couto Fernandes, Samuel Paulino dos Santos

Let f = 0 be an implicit singular plane curve. When deforming f = 0, inflections and vertex emerge from the singularities. In this papper, we classify the deformations of f = 0 wit…

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

On vertices and inflections of singular plane curves

Geometric deformations of implicit curves

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