Horospherical surfaces of curves in hyperbolic space


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Files in This Item:

pre516.pdf

536.61 kB

PDF

Please use this identifier to cite or link to this item:https://doi.org/10.14943/83662

Title:	Horospherical surfaces of curves in hyperbolic space
Authors:	Izumiya, S. Browse this author
	Pei, D-H Browse this author
	Sano, T. Browse this author
Keywords:	Hyperbolic 3-space
	curves
	singularities
Issue Date:	1-Jan-2001
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	516
Start Page:	1
End Page:	9
Abstract:	We consider the contact between curves and horospheres in Hyperbolic 3-space as an application of singularity theory of functions. We define the osculating horosphere of the curve. We also define the horospherical surface of the curve whose singular points correspond to the locus of polar vectors of osculating horospheres of the curve. One of the main results is to give a generic classification of singularities of horospherical surface of curves.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69266
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

- Hokkaido University