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SINGULARITIES OF PEDAL CURVES PRODUCED BY SINGULAR DUAL CURVE GERMS IN Sn
- Source :
- Demonstratio Mathematica. 43
- Publication Year :
- 2010
- Publisher :
- Walter de Gruyter GmbH, 2010.
-
Abstract
- For an n-dimensional spherical unit speed curve r and a given point P, we can define naturally the pedal curve of r relative to the pedal point P. When the dual curve germs are singular, singularity types of pedal curves depend on singularity types of the n-th curvature function germs and the locations of pedal points. In this paper, we investigate sigularity types of pedal curves in such cases.
Details
- ISSN :
- 23914661
- Volume :
- 43
- Database :
- OpenAIRE
- Journal :
- Demonstratio Mathematica
- Accession number :
- edsair.doi.dedup.....8c596f5878ae51cb739a9c3ee61cf76c