# Curves and surfaces in hyperbolic space

Shyuichi Izumiya; Donghe Pei; Masatomo Takahashi

Banach Center Publications (2004)

- Volume: 65, Issue: 1, page 107-123
- ISSN: 0137-6934

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topShyuichi 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 -

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