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Embedded flat tori in the unit 3-sphere

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Publication:1907759
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DOI10.2969/jmsj/04720275zbMath0836.53035OpenAlexW2008654241MaRDI QIDQ1907759

Yoshihisa Kitagawa

Publication date: 16 April 1996

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04720275


zbMATH Keywords

isometric embeddingflat torusunit 3-sphere


Mathematics Subject Classification ID

Global submanifolds (53C40)


Related Items (9)

A D'Alembert formula for flat surfaces in the 3-sphere ⋮ An \(n\)-dimensional flat torus in \(S^{2n-1}\) whose extrinsic diameter is equal to \(\pi\) ⋮ A rigidity theorem for the Clifford tori in 𝑆³ ⋮ Extrinsic diameter of immersed flat tori in \(S^3\) ⋮ Local Image Structure and Procrustes Metrics ⋮ Isometric immersions of \({{\mathbb R}^2}\) into \({{\mathbb R}^4}\) and perturbation of Hopf tori ⋮ Uniqueness of Lorentzian Hopf tori ⋮ The space of Lorentzian flat tori in anti-de Sitter $3$-space ⋮ Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature






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