On embedded flat surfaces in \(S^3\)

DOI10.1007/BF02921704zbMath0917.53023MaRDI QIDQ1130256

Jiri Dadok, Ji-Ping Sha

Publication date: 1 August 1999

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

constant sectional curvatureflat surfaces in the three sphereimbeddabilityimbedded surfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Embeddings in differential topology (57R40)

Related Items (3)

A D'Alembert formula for flat surfaces in the 3-sphere ⋮ Extrinsic diameter of immersed flat tori in the 3-sphere II ⋮ The space of Lorentzian flat tori in anti-de Sitter $3$-space

Cites Work

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• Hopf tori in \(S^ 3\)
• Global properties of the Gauss image of flat surfaces in \(R^ 4\)
• Periodicity of the asymptotic curves on flat tori in \(S^ 3\)
• Critical point theory and submanifold geometry
• Flat Tori in S ³ and Their Gauss Maps
• On complete surfaces with Gaussian curvature zero in 3-sphere

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