Folding maps on a cross-cap
Differential Geometry
2020-04-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2004.04781,
title = {Folding maps on a cross-cap},
author = {Martín Barajas Sichacá},
journal= {arXiv preprint arXiv:2004.04781},
year = {2020}
}
Comments
12 pages, 2 figures