Extrinsic diameter of immersed flat tori in \(S^3\)

DOI10.1007/s10711-011-9580-5zbMath1262.53049OpenAlexW2052926499MaRDI QIDQ715263

Masaaki Umehara, Yoshihisa Kitagawa

Publication date: 2 November 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-011-9580-5

zbMATH Keywords

Clifford torus3-sphererigidityflat torusmean curvaturewave frontGaussian curvatureextrinsic diameter

Mathematics Subject Classification ID

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

Related Items (10)

Caustics of convex curves ⋮ Isometric immersions with singularities between space forms of the same positive curvature ⋮ Focal surfaces of fronts associated to unbounded principal curvatures ⋮ Timelike sweeping surfaces and singularities ⋮ Singularity properties of Lorentzian Darboux surfaces in Lorentz-Minkowski spacetime ⋮ Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts ⋮ Erratum to: ``Extrinsic diameter of immersed flat tori in \(S^3\) ⋮ Extrinsic diameter of immersed flat tori in the 3-sphere II ⋮ Dualities of differential geometric invariants on cuspidal edges on flat fronts in the hyperbolic space and the De Sitter space ⋮ FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE

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