The horospherical geometry of surfaces in Hyperbolic 4-space


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83718

Title:	The horospherical geometry of surfaces in Hyperbolic 4-space
Authors:	Izumiya, S. Browse this author
	Pei, D. Browse this author
	Romero-Fuster, M. C Browse this author
Issue Date:	Dec-2002
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	573
Start Page:	1
End Page:	17
Abstract:	We study some geometrical properties associated to the contacts of surfaces with hyperhorospheres in Ht ( -1). We introduce the concepts of osculating hyperhorospheres, horobinormals, horoasymptotic directions and horospherical points and provide conditions ensuring their existence. We show that totally semiumbilical surfaces have orthogonal horoasymptotic directions.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69322
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 )

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