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

DOI10.1007/s00022-019-0520-0zbMath1434.53060arXiv1906.00523OpenAlexW2997172792WikidataQ126460908 ScholiaQ126460908MaRDI QIDQ2301256

Masaaki Umehara, Kazuyuki Enomoto, Yoshihisa Kitagawa

Publication date: 24 February 2020

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.00523

zbMATH Keywords

Hopf fibrationasymptotic curves

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Cites Work

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• Extrinsic diameter of immersed flat tori in \(S^3\)
• Periodicity of the asymptotic curves on flat tori in \(S^ 3\)
• On embedded flat surfaces in \(S^3\)
• Geometry of scrolls
• Flat Tori in S ³ and Their Gauss Maps
• 6-vertex theorem for closed planar curve which bounds an immersed surface with non-zero genus
• A rigidity theorem for the Clifford tori in 𝑆³
• Vertices of plane curves

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