Surfaces in \(E^ 4\) with a Gaussian curvature coinciding with a Gaussian torsion up to the sign (Q1905327)
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scientific article; zbMATH DE number 830767
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Surfaces in \(E^ 4\) with a Gaussian curvature coinciding with a Gaussian torsion up to the sign |
scientific article; zbMATH DE number 830767 |
Statements
Surfaces in \(E^ 4\) with a Gaussian curvature coinciding with a Gaussian torsion up to the sign (English)
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1 February 1996
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Let \(F^2\) be a two-dimensional surface of the Euclidean space \(E^4\) and denote by \(K\), \(\kappa\) its Gaussian curvature and Gaussian torsion, respectively. Some characterization of surfaces \(F^2\) satisfying one of the conditions \(K= \kappa\) or \(K=- \kappa\) are obtained.
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Euclidean four-space
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Gaussian curvature
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Grassmannian
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two-surface
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Gaussian torsion
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