Hypersurfaces with constant scalar curvature and constant mean curvature (Q1891980)
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scientific article; zbMATH DE number 761180
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypersurfaces with constant scalar curvature and constant mean curvature |
scientific article; zbMATH DE number 761180 |
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Hypersurfaces with constant scalar curvature and constant mean curvature (English)
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6 June 1995
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According to the authors' abstract, ``non-spherical hypersurfaces in \(E^ 4\) with non-zero constant mean curvature and constant scalar curvature are the only hypersurfaces possessing the following property: Its position vector can be written as a sum of two non-constant maps, which are eigenmaps of the Laplacian operator with corresponding eigenvalues the zero and a non-zero constant''.
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hypersurfaces in \(E^ 4\)
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constant mean curvature
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constant scalar curvature
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eigenmaps of the Laplacian
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