Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature

DOI10.2748/TMJ/1178224612zbMath0995.53046OpenAlexW2001415754WikidataQ125572873 ScholiaQ125572873MaRDI QIDQ1587382

Yoshihisa Kitagawa

Publication date: 20 November 2000

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224612

zbMATH Keywords

flat torusmean curvatureisometric deformation

Mathematics Subject Classification ID

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

Related Items (2)

A D'Alembert formula for flat surfaces in the 3-sphere ⋮ Variational problems for integral invariants of the second fundamental form of a map between pseudo-Riemannian manifolds

Cites Work

• Rigidity of the Clifford tori in \(S^3\)
• Periodicity of the asymptotic curves on flat tori in \(S^ 3\)
• Deformable flat tori in \(S^3\) with constant mean curvature
• Embedded flat tori in the unit 3-sphere
• Isometric immersions of space forms in space forms

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