Functions on a swallowtail
Differential Geometry
2018-04-26 v1
Abstract
We classify submersions from to up to diffeomorphisms which preserve the swallowtail and use this classification to study its flat geometry. The flat geometry is derived from the contact of the swallowtail with planes, which is measured by the singularities of the height function.
Cite
@article{arxiv.1804.09664,
title = {Functions on a swallowtail},
author = {A. P. Francisco},
journal= {arXiv preprint arXiv:1804.09664},
year = {2018}
}
Comments
13 pages, 4 figures