Helicoidal flat surfaces in the 3-sphere
Differential Geometry
2016-01-20 v1
Abstract
In this paper, helicoidal flat surfaces in the -dimensional sphere are considered. A complete classification of such surfaces is given in terms of their first and second fundamental forms and by linear solutions of the corresponding angle function. The classification is obtained by using the Bianchi-Spivak construction for flat surfaces and a representation for constant angle surfaces in .
Keywords
Cite
@article{arxiv.1601.04930,
title = {Helicoidal flat surfaces in the 3-sphere},
author = {Fernando Manfio and João Paulo dos Santos},
journal= {arXiv preprint arXiv:1601.04930},
year = {2016}
}
Comments
14 pages, 3 figures