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The mean integral curvature and infinitesimal deformations of a surface in a three-dimensional Riemannian space - MaRDI portal

The mean integral curvature and infinitesimal deformations of a surface in a three-dimensional Riemannian space (Q486376)

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scientific article; zbMATH DE number 6386973
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The mean integral curvature and infinitesimal deformations of a surface in a three-dimensional Riemannian space
scientific article; zbMATH DE number 6386973

    Statements

    The mean integral curvature and infinitesimal deformations of a surface in a three-dimensional Riemannian space (English)
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    15 January 2015
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    The main statement in this paper is a formula for the derivative of the mean integral curvature of a surface in a three-dimensional Riemannian space with respect to infinitesimal deformations. If generalizes a similar result for the Euclidean space \(E^3\).
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    mean integral curvature
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    infinitesimal deformation
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