arXiv subjects

Martín Barajas Sichacá

Publications and source records attributed to Martín Barajas Sichacá.

2 recordsLinked to original sources

arXiv2020

Folding maps on a cross-cap

We study the reflectional symmetry of a surface in the Euclidean 3-dimensional space with a cross-cap singularity with respect to planes. This symmetry is picked up by the singularities of folding maps on the cross-cap. We give a list of the generic singularities that appear in the members of the family of folding maps on a cross-cap and characterise them geometrically.

math.DG↗

arXiv2018

Projection of crosscap

We determine the precise bifurcation diagrams of the apparent contours of generic crosscaps, which contain the information of bifurcations with respect to the images of the singular sets of crosscaps: crosscap points and double point curves. Especially, three different kinds of equivalences play key roles.

math.DG↗