Singularities of pedal curves produced by singular dual curve germs in Sn

• Autorzy: Nishimura T.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

singularity; pedal curve; pedal point; dual curve

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 2
• Strony: 447--459
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Nishimura T.

• Department of Mathematics Faculty of Education and Human Sciences Yokohama National University Yokohama 240-8501, Japan,

Bibliografia

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