Extrinsic diameter of immersed flat tori in the 3-sphere II

2019/06/03 by Kazuyuki Enomoto, Enomoto, Kazuyuki, Yoshihisa Kitagawa +3
Computer Science · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Primary 53C42 #Secondary 53C40 #Secondary 53C40 Primary 53C42 #Topological and Geometric Data Analysis #math.DG #msc:53C40 #msc:53C42

paper · pdf · doi:10.48550/arxiv.1906.00523

21 pages, 18 figures

openalex publication_date 2019/06/03 · arxiv created 2019/09/25 · arxiv updated 2019/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We show that the extrinsic diameter of immersed flat tori in the 3-sphere is π under a certain topological condition for the projection of their asymptotic curves with respect to the Hopf fibration.

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