Isometric deformation of surfaces in \(R^ 3\) preserving the mean curvature function (Q915135)
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scientific article; zbMATH DE number 4151263
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isometric deformation of surfaces in \(R^ 3\) preserving the mean curvature function |
scientific article; zbMATH DE number 4151263 |
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Isometric deformation of surfaces in \(R^ 3\) preserving the mean curvature function (English)
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1989
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The authors study non-umbilical surfaces in Euclidean space \(R^ 3\) with constant Gaussian curvature, which admit a non-trivial isometric deformation preserving the mean curvature function. After an interesting local analysis for any surface in \(R^ 3\), the authors show that the Gaussian curvature of these surfaces must be zero.
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non-umbilical surfaces
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constant Gaussian curvature
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isometric deformation
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mean curvature
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