2021/02/11 by Jian Ge, Ge, Jian
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Metric Geometry (math.MG) #math.DG #math.MG
paper · pdf · doi:10.48550/arxiv.2102.05901
arxiv created 2021/02/11 · openalex publication_date 2021/02/11 · arxiv updated 2021/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 Sn in terms of its focal radius as well as the rigidity of Clifford hypersurface in Sn. The 3-dimension case of our theorems confirm two conjectures raised by Gromov in [Gro18].