Metrically un-knotted corank 1 singularities of surfaces in $\mathbb{R}^4$
Algebraic Geometry
2018-01-19 v1
Abstract
The paper is devoted to relations between topological and metric properties of germs of real surfaces, obtained by analytic maps from to . We show that for a big class of such surfaces the normal embedding property implies the triviality of the knot, presenting the link of the surfaces. We also present some criteria of normal embedding in terms of the polar curves.
Keywords
Cite
@article{arxiv.1706.06669,
title = {Metrically un-knotted corank 1 singularities of surfaces in $\mathbb{R}^4$},
author = {Lev Birbrair and Rodrigo Mendes and Juan Jose Nuño-Ballesteros},
journal= {arXiv preprint arXiv:1706.06669},
year = {2018}
}
Comments
10 pages