The rectifying developable and the spherical Darboux image of a space curve

• Autorzy: Shyuichi Izumiya , Haruyo Katsumi , Takako Yamasaki
• Języki publikacji: EN

Abstrakty

EN

In this paper we study singularities of certain surfaces and curves associated with the family of rectifying planes along space curves. We establish the relationships between singularities of these subjects and geometric invariants of curves which are deeply related to the order of contact with helices.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1999
• Tom: 50
• Numer: 1
• Strony: 137-149

Daty

wydano

1999

Twórcy

autor

Shyuichi Izumiya

• Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan

autor

Haruyo Katsumi

• Department of Mathematics, Ochanomizu University, Bunkyou-ku Otsuka Tokyo 112-8610, Japan

autor

Takako Yamasaki

• Department of Mathematics, Ochanomizu University, Bunkyou-ku Otsuka Tokyo 112-8610, Japan

Bibliografia

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