Rigidity of the Clifford tori in \(S^3\)

DOI10.1007/BF01162875zbMath0632.53054OpenAlexW2090973801MaRDI QIDQ1095418

Yoshihisa Kitagawa

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173945

zbMATH Keywords

Clifford torusrigidityisometric immersions

Mathematics Subject Classification ID

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

Related Items (4)

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

Cites Work

• Hopf tori in \(S^ 3\)
• Periodicity of the asymptotic curves on flat tori in \(S^ 3\)
• Isometric immersions of space forms in space forms
• Submanifolds with Constant Mean Curvature II

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