A geometric characterisation of two-parameter spatial motions with many locally one-dimen\-sional point paths (Q1826674)
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scientific article; zbMATH DE number 2081714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A geometric characterisation of two-parameter spatial motions with many locally one-dimen\-sional point paths |
scientific article; zbMATH DE number 2081714 |
Statements
A geometric characterisation of two-parameter spatial motions with many locally one-dimen\-sional point paths (English)
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6 August 2004
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The authors study two-parametric motions of the Euclidean 3-space. Under such a motion any point of the moving space moves along a naturally parameterized surface. This parameterization can be singular. The authors give a differential geometric characterization of locally singular points on such surfaces and of two-parametric motions with a one-parametric family of locally singular point paths.
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two-parameter spatial motion
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curvature of a curve
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osculating plane
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locally singular point
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