Curves and surfaces in hyperbolic space
Shyuichi Izumiya ; Donghe Pei ; Masatomo Takahashi
Banach Center Publications, Tome 65 (2004), p. 107-123 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:281587 
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     title = {Curves and surfaces in hyperbolic space},
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Shyuichi Izumiya; Donghe Pei; Masatomo Takahashi. Curves and surfaces in hyperbolic space. Banach Center Publications, Tome 65 (2004) pp. 107-123. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc65-0-8/