Three-dimensional surfaces foliated by an equiform motion of pseudohyperbolic surfaces in \(\mathbb{E}^7\) (Q2788865)
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scientific article; zbMATH DE number 6543945
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-dimensional surfaces foliated by an equiform motion of pseudohyperbolic surfaces in \(\mathbb{E}^7\) |
scientific article; zbMATH DE number 6543945 |
Statements
22 February 2016
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equiform motion
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hypersurface
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Lorentz metric
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Three-dimensional surfaces foliated by an equiform motion of pseudohyperbolic surfaces in \(\mathbb{E}^7\) (English)
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The author considers local properties of the surface enveloped by a space-like hyperboloid of two sheets in a three-dimensional Lorentzian space as it undergoes an equiform Lorentzian motion in \(\mathbb{E}^7\). At any instance in time, it possesses a tangent pseudosphere whence it is contained in a canal surface. Its spine curve is computed and singular cases are discussed.
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