Curves and surfaces in hyperbolic space

• Autorzy: Shyuichi Izumiya , Donghe Pei , Masatomo Takahashi
• Języki publikacji: EN

Abstrakty

EN

In the first part (Sections 2 and 3), we give a survey of the recent results on application of singularity theory for curves and surfaces in hyperbolic space. After that we define the hyperbolic canal surface of a hyperbolic space curve and apply the results of the first part to get some geometric relations between the hyperbolic canal surface and the centre curve.

Kategorie tematyczne

• 53A35: Non-Euclidean differential geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 65
• Numer: 1
• Strony: 107-123

Daty

wydano

2004

Twórcy

autor

Shyuichi Izumiya

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

autor

Donghe Pei

• Department of Mathematics, North East Normal University, Chang Chun 130024, P. R. China

autor

Masatomo Takahashi

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

Identyfikatory

DOI

10.4064/bc65-0-8