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

Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature (Q1587382)

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scientific article; zbMATH DE number 1533115
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English
Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature
scientific article; zbMATH DE number 1533115

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    Isometric deformations of flat tori in the 3-sphere with nonconstant mean curvature (English)
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    20 November 2000
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    For an isometric immersion \(f\) of a flat torus into the unit 3-sphere, is shown that if the mean curvature of \(f\) is not constant, then the immersion \(f\) admits a nontrivial isometric deformation preserving the total mean curvature.
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    mean curvature
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    flat torus
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    isometric deformation
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