The rectifying developable and the tangent indicatrix of a curve in Galilean 3-space (Q653864)
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scientific article; zbMATH DE number 5990625
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The rectifying developable and the tangent indicatrix of a curve in Galilean 3-space |
scientific article; zbMATH DE number 5990625 |
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The rectifying developable and the tangent indicatrix of a curve in Galilean 3-space (English)
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19 December 2011
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The fold, cusp and swallowtail singularities for distance and height functions [\textit{J. W. Bruce} and \textit{P. J. Giblin}, Curves and singularities. A geometrical introduction to singularity theory. Cambridge etc.: Cambridge University Press (1984; Zbl 0534.58008)] are studied in Galilean geometry. The relationships between singularities and invariants under the action of the Galilean group related to the order of contact with Galilean helices are established.
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height function
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distance function
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singularity
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Galilean space
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