Total absolute horospherical curvature of submanifolds 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:

pre880.pdf

266.92 kB

PDF

Please use this identifier to cite or link to this item:https://doi.org/10.14943/84030

Title:	Total absolute horospherical curvature of submanifolds in hyperbolic space
Authors:	Buosi, Marcelo Browse this author
	Izumiya, Shyuichi Browse this author
	Soares Ruas, Maria Aparecida Browse this author
Keywords:	hyperbolic space
	horospherical geometry
	the Chern-Lashof type inequality
Issue Date:	2007
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	880
Start Page:	1
End Page:	16
Abstract:	We study the horospherical geometry of submanifolds in hyperbolic space. The main result is a formula for the total absolute horospherical curvature of $M,$ which implies, for the horospherical geometry, the analogues of classical inequalities of the Euclidean Geometry. We prove the horospherical Chern-Lashof inequality for surfaces in $3$-space and the horospherical Fenchel and Fary-Milnor's theorems.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69689
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