C^1-umbilics with arbitrarily high indices
Differential Geometry
2017-04-19 v1
Abstract
In this paper, the existence of C^1-umbilics with arbitrarily high indices is shown. This implies that more than C^1-regularity is required to prove Loewner's conjecture.
Cite
@article{arxiv.1508.03685,
title = {C^1-umbilics with arbitrarily high indices},
author = {Naoya Ando and Toshifumi Fujiyama and Masaaki Umehara},
journal= {arXiv preprint arXiv:1508.03685},
year = {2017}
}