Curves and surfaces in hyperbolic space

Shyuichi Izumiya, Donghe Pei, and Masatomo Takahashi. "Curves and surfaces in hyperbolic space." Banach Center Publications 65.1 (2004): 107-123. <http://eudml.org/doc/281587>.

@article{ShyuichiIzumiya2004,
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.},
author = {Shyuichi Izumiya, Donghe Pei, Masatomo Takahashi},
journal = {Banach Center Publications},
keywords = {Minkowski space; hyperbolic Gauss map; hypersurface; singularity of curve; horospherical surface of curves.},
language = {eng},
number = {1},
pages = {107-123},
title = {Curves and surfaces in hyperbolic space},
url = {http://eudml.org/doc/281587},
volume = {65},
year = {2004},
}

TY - JOUR
AU - Shyuichi Izumiya
AU - Donghe Pei
AU - Masatomo Takahashi
TI - Curves and surfaces in hyperbolic space
JO - Banach Center Publications
PY - 2004
VL - 65
IS - 1
SP - 107
EP - 123
AB - 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.
LA - eng
KW - Minkowski space; hyperbolic Gauss map; hypersurface; singularity of curve; horospherical surface of curves.
UR - http://eudml.org/doc/281587
ER -