On the total mean curvature of piecewise smooth surfaces under infinitesimal bending (Q548401)

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scientific article; zbMATH DE number 5914134
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On the total mean curvature of piecewise smooth surfaces under infinitesimal bending
scientific article; zbMATH DE number 5914134

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    On the total mean curvature of piecewise smooth surfaces under infinitesimal bending (English)
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    28 June 2011
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    The authors prove that the variation of the total mean curvature of a compact piecewise smooth oriented surface \(S\) in \(\mathbb{R}^3\) under an infinitesimal bending is expressed by the rotation vector field of that bending.
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    piecewise smooth surface
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    infinitesimal bending
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    total mean curvature
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    variation
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