New Flat surfaces in $S^3$
Geometric Topology
2021-03-09 v1
Abstract
n this paper, we consider a method of constructing flat surfaces based on Ribaucour transformations in the sphere 3-space. By applying the theory to the flat torus, we obtain a families of complete flat surfaces in which are determined by several parameters. we provide explicit examples.
Cite
@article{arxiv.2103.04679,
title = {New Flat surfaces in $S^3$},
author = {Armando M. V. Corro and Marcelo Lopes Ferro},
journal= {arXiv preprint arXiv:2103.04679},
year = {2021}
}