Curves and surfaces in hyperbolic space
Volume 65 / 2004
Banach Center Publications 65 (2004), 107-123
MSC: Primary 53A35; Secondary 58C27.
DOI: 10.4064/bc65-0-8
Abstract
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.
