Gehring Link Problem, Focal Radius and Over-torical width
Differential Geometry
2021-02-12 v1 Metric Geometry
Abstract
In this note, we study the Gehring link problem in the round sphere, which motives our study of the width of a band in positively curved manifolds. Using the same idea, we are able to get a sphere theorem for hypersurface in in the round in terms of its focal radius as well as the rigidity of Clifford hypersurface in . The -dimension case of our theorems confirm two conjectures raised by Gromov in [Gro18].
Keywords
Cite
@article{arxiv.2102.05901,
title = {Gehring Link Problem, Focal Radius and Over-torical width},
author = {Jian Ge},
journal= {arXiv preprint arXiv:2102.05901},
year = {2021}
}