Flat surfaces along swallowtails
Differential Geometry
2017-09-20 v1
Abstract
We consider developable surfaces along the singular set of a swallowtail which are considered to be flat approximations of the swallowtail. For the study of singularities of such developable surfaces, we introduce the notion of Darboux frames along swallowtails and invariants. As a by-product, we give a new example of a frontal which is locally homeomorphic to a swallowtail.
Cite
@article{arxiv.1709.06133,
title = {Flat surfaces along swallowtails},
author = {Shyuichi Izumiya and Kentaro Saji and Keisuke Teramoto},
journal= {arXiv preprint arXiv:1709.06133},
year = {2017}
}
Comments
17pages 17 figures