Skew loops in flat tori
Differential Geometry
2007-07-01 v3
Abstract
We produce skew loops -- loops having no pair of parallel tangent lines -- homotopic to any loop in a flat torus or other quotient of R^n. The interesting case here is n=3. More subtly for any n, we characterize the homotopy classes that will contain a skew loop having a specified loop in the unit sphere as tangent indicatrix.
Keywords
Cite
@article{arxiv.math/0701913,
title = {Skew loops in flat tori},
author = {Bruce Solomon},
journal= {arXiv preprint arXiv:math/0701913},
year = {2007}
}