JEDNOSTKA NAUKOWA KATEGORII A+

Curves and surfaces in hyperbolic space

Tom 65 / 2004

Shyuichi Izumiya, Donghe Pei, Masatomo Takahashi Banach Center Publications 65 (2004), 107-123 MSC: Primary 53A35; Secondary 58C27. DOI: 10.4064/bc65-0-8

Streszczenie

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.

Autorzy

  • Shyuichi IzumiyaDepartment of Mathematics
    Hokkaido University
    Sapporo 060-0810, Japan
    e-mail
  • Donghe PeiDepartment of Mathematics
    North East Normal University
    Chang Chun 130024, P. R. China
    e-mail
  • Masatomo TakahashiDepartment of Mathematics
    Hokkaido University
    Sapporo 060-0810, Japan
    e-mail

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